I know it's possible to blow a channel on a mixer, but is it possible to blow a channel on a analog compressor by pushing the signals gain until it's clipping? im planning on buying an Art dual channel tube compressor and want to know if it is possible to blow the channels or damage the unit by overloading it with signal?

It's very difficult to blow or damage a channel on a mixer or a compressor with any normal signal that you could feed to it, including a reasonable overload. Don't pin the mechanical meters, though, they can be damaged.