Nope nothing wrong. I got through my MEPS physical fine and entirely honstly. I have come up with one more question though. Is there any way to become an officer while in the nuclear pipeline or after prototype school?
The only way to be an officer is to have a degree (unless you count CWO/LDO but that's years down the road.)
Generally, if you put in a STA-21 package while a student for a program other than nuclear, it will not be looked on favorably. Have an answer for "Why should we recommend you for a program that has nothing to do with the 100k+ we've spent on training you so far?"
That being said, STA-21 for nuke officer has a decent selection rate for students. You might have to apply a few times to finally get selected though.