Can a person get a job as a veterinarian technician with drug felonies?

It would be challenging, particularly because most vet techs are allowed to handle controlled substances. Depending on the licensure requirements of the state you are thinking of working in, it may not be legal. The biggest hurdle, however, will be to convince a veterinarian who owns a business that you can be trusted to be in the same building on a daily basis as drugs such as ketamine, morphine, barbituates, etc.