Can you leave the country if you are on probation for a punishment lower than a misdemeanor?

That would depend on the conditions you must follow according to the terms of your parole/probation you entered into for whatever reason. If your parole/probation agreement said that you were not to leave the country, then it would be a violation of the agreement if you were to do so. They could violate/terminate the parole/probation and file charge(s) against you for violating the parole/probation agreement.

Your best bet is to contact your assigned parole/probation officer and get a written statement (signed) from them with the determination of whether you can leave the country without violating your parole/probation agreement. Written proof is the best way to cover your neck, just in case they say you left without first asking them, if it was all right to leave the country without violating your parole/probation agreement.