i imagine you can if you have flash on android and login to the full kongregate site. though i also imagine that it wont be very enjoyable. card monsters is very resource intensive (bad coding practices) even for a pc.
I think a mobile version is one of the next things in the to-do list. No promises, no ETA though
Perhaps you could kill 2 birds with one stone by moving to HTML5? Flash has one foot out the door as is, and this would greatly eliminate the massive lag and clunkiness of the game.