Absent missing facts, short answer is, "NO!"
Long(er) answer is "No, for a number of reasons, among them that I can't see any charge that would conceivably fit, and anything that remotely did would have a mental intent element that they cannot prove (and you would not logically be able to have, going into MEPS). By the way, anyone who suspects you of a crime under the UCMJ and questions you has to give you your Article 31b, UCMJ rights advisement (ironically, a military member who fails to do so may be guilty of a crime). Also, a law that might come to bear is 10 USC 1219 "A member of an armed force may not be required to sign a statement relating to the origin, incurrence, or aggravation of a disease or injury that he has. Any such statement against his interests, signed by a member, is invalid." If you signed something before being a military member, no UCMJ jurisdiction. Signing something after probably raises issues with this law..."
There are so many issues with any such charge...well, hundreds of pages could be written on this subject. But, all that said, it is not impossible that someone dumb prefers charges (anyone subject to the code can prefer charges). But, in the infinitesimally small chance that someone did...I see no circumstance where this goes anywhere.
I would not overthink it...my short answer is probably best for looking at this issue.