Not having three conductor power line at home could make the amp noisier but it is not unsafe for the amp to use it this way. The third conductor is there for your safety, it blows the fuse or turns off the circuit breaker in the event that something shorts and puts the line voltage onto the chassis.
If the line voltage is present on the chassis & it's on a carpeted, or otherwise insulated, cabinet, it is energized waiting for someone or something to touch it before it will cut the circuit breaker. That someone or something could be the OP.