You can have two separate copies (that means your original and a new copy, so you have to pony up another 49 bucks) of AHP (and two CM15As) on two computers, but both copies have to be on different housecodes or each one will change the other copy, plus any macros will interfere with each other, events will run at the same time one each machine.
BTW, you can transfer a licensed copy of AHP from one PC to another PC.