Yes it is possible but highly unlikely. Here's how you would do it.
1) You would have to go into boot camp as a Contract PFC
2) You would have to be the Company honor man which is the best out of about 600 men.
Even if you are able to accompish these two things (which is highly unlikely) then the Corps is not required to promote to LCpl some Company commanders refuse to...and i agree with that... rank shouldn't just be thrown around like that.
