In theory EVERY USCIS Local Field Office may perform same day oath. Legally, the Court can formally exert exclusive jurisdiction to administer the oath to EVERY applicant for naturalization within its geographic jurisdiction with limited exceptions. I don't know the specific arrangements at that Office.
INA Sec. 310. [8 U.S.C. 1421]
(a) Authority in Attorney General.-The sole authority to naturalize persons as citizens of the United States is conferred upon the Attorney General.
(b) Court Authority To Administer Oaths.-
(1) Jurisdiction.-Subject to section 337(c)-
(A) General jurisdiction.-Except as provided in subparagraph (B), each applicant for naturalization may choose to have the oath of allegiance under section 337(a) administered by the Attorney General or by an eligible court described in paragraph (5). Each such eligible court shall have authority to administer such oath of allegiance to persons residing within the jurisdiction of the court.
(B) Exclusive authority.-An eligible court described in paragraph (5) that wishes to have exclusive authority to administer the oath of allegiance under section 337(a) to persons residing within the jurisdiction of the court during the period described in paragraph (3)(A)(i) shall notify the Attorney General of such wish and, subject to this subsection, shall have such exclusive authority with respect to such persons during such period.
(2) Information.-
(A) General information.-In the case of a court exercising authority under paragraph (1), in accordance with procedures established by the Attorney General-
(i) the applicant for naturalization shall notify the Attorney General of the intent to be naturalized before the court, and
(ii) the Attorney General-
(I) shall forward to the court (not later than 10 days after the date of approval of an application for naturalization in the case of a court which has provided notice under paragraph (1)(B)) such information as may be necessary to administer the oath of allegiance under section 337(a) , and
(II) shall promptly forward to the court a certificate of naturalization (prepared by the Attorney General).
(B) Assignment of individuals in the case of exclusive authority.-If an eligible court has provided notice under paragraph (1)(B), the Attorney General shall inform each person (residing within the jurisdiction of the court), at the time of the approval of the person's application for naturalization, of-
(i) the court's exclusive authority to administer the oath of allegiance under section 337(a) to such a person during the period specified in paragraph (3)(A)(i), and
(ii) the date or dates (if any) under paragraph (3)(B) on which the court has scheduled oath administration ceremonies.
If more than one eligible court in an area has provided notice under paragraph (1)(B), the Attorney General shall permit the person, at the time of the approval, to choose the court to which the information will be forwarded for administration of the oath of allegiance under this section.
(3) Scope of exclusive authority.-
(A) Limited period and advance notice required.-The exclusive authority of a court to administer the oath of allegiance under paragraph (1)(B) shall apply with respect to a person-
(i) only during the 45-day period beginning on the date on which the Attorney General certifies to the court that an applicant is eligible for naturalization, and
(ii) only if the court has notified the Attorney General, prior to the date of certification of eligibility, of the day or days (during such 45-day period) on which the court has scheduled oath administration ceremonies.
(B) Authority of attorney general.-Subject to subparagraph (C), the Attorney General shall not administer the oath of allegiance to a person under subsection (a) during the period in which exclusive authority to administer the oath of allegiance may be exercised by an eligible court under this subsection with respect to that person.
(C) Waiver of exclusive authority.-Notwithstanding the previous provisions of this paragraph, a court may waive exclusive authority to administer the oath of allegiance under section 337(a) to a person under this subsection if the Attorney General has not provided the court with the certification described in subparagraph (A)(i) within a reasonable time before the date scheduled by the court for oath administration ceremonies. Upon notification of a court's waiver of jurisdiction, the Attorney General shall promptly notify the applicant.
(4) Issuance of certificates.-The Attorney General shall provide for the issuance of certificates of naturalization at the time of administration of the oath of allegiance.
(5) Eligible courts.-For purposes of this section, the term "eligible court" means-
(A) a district court of the United States in any State, or
(B) any court of record in any State having a seal, a clerk, and jurisdiction in actions in law or equity, or law and equity, in which the amount in controversy is unlimited.
(c) Judicial Review.-A person whose application for naturalization under this title is denied, after a hearing before an immigration officer under section 336(a) , may seek review of such denial before the United States district court for the district in which such person resides in accordance with chapter 7 of title 5, United States Code. Such review shall be de novo, and the court shall make its own findings of fact and conclusions of law and shall, at the request of the petitioner, conduct a hearing de novo on the application.
(d) Sole Procedure.-A person may only be naturalized as a citizen of the United States in the manner and under the conditions prescribed in this title and not otherwise.