can i file for citizenship if i'm on probation

No, under the INA you are not eligible for naturalization while under a period of probation.  You'll need to wait until your probation is complete and then go to an experienced immigration attorney with your complete criminal records for analysis to determine if you are eligible for natz.  You should also not travel or renew your green card either until you've had your conviction analyzed for posssible deportation ramifications.