No. If you’re happy to pay all the fees again they will happily accept your next application.
But do think about the questions you will get from CBP when you keep touching down for brief periods but are obviously not resident here, yet don’t have a re-entry permit.
You may need to start deciding how important the green card really is to you during one of these touchdown trips, because getting a warning (sometimes ”officially” as in they make a note in your passport, and anyway it will be on the system) and then doing the same thing again next time because you don’t have the permit yet is going to get tougher and tougher. Note that time in/out is only a guideline and the real test is whether or not you are actually living here. I am guessing you do not have most of the things they usually look at for this: “While brief trips abroad generally are not problematic, the officer may consider criteria such as whether your intention was to visit abroad only temporarily, whether you maintained U.S. family and community ties, maintained U.S employment, filed U.S. income taxes as a resident, or otherwise established your intention to return to the United States as your permanent home. Other factors that may be considered include whether you maintained a U.S. mailing address, kept U.S. bank accounts and a valid U.S. driver’s license, own property or run a business in the United States, or any other evidence that supports the temporary nature of your absence.” The only thing is going to “excuse” you from not presenting most these is a re-entry permit.
