Same issue as the question you asked in the other thread - this will vary by program, jurisdiction/state, and licensing board. Some programs will ask you about felonies and other background check type questions at the admission stage, others will need background checks for practica where this may be an issue, others won't care for the training part of the program but it may come up when you're asked on internship applications and such. You would need to look into the specific application guidelines for each program you want to apply to and look into whether this would show up on their state background checks.