Is it possible to switch hard drives for 2 laptops?

I have a Compaq CQ60 that the screen was destroyed and lid basically ripped off, so I bought a Compaq CQ62, which is the model right after, I basically would like to get all my songs and files and confirmation numbers for like my anti virus (which is my main reason because I bought 2 years of the anti virus software in advance and broke the computer like a week later.) Anywayss, I just took out the harddrive from the broken laptop and now my question is, can I take the harddrive out of the computer Im using right now, put that harddrive in, get a flash drive, get all my stuff out the old harddrive, then put the new hardrive back into the new computer, I know its prolly confusing but just read it slow and let me know...thanks so much =)