No way! Provent-A-Mite should never be used on any animal. For reptiles, only the enclosure and substrate are treated. Then the enclosure must be allowed to air out and completely dry before putting the snake back in. At least 20/30 minutes but many people wait longer.
It would not be safe for use inside a rat enclosure due to it's long term residual effects. Rats clean their selves. If any were ingested, it would be detrimental.