The answer to this question is yes and no. Technically, a pawn shop is not allowed to purchase any electronic devices that still contain personal information, such as a computer. However, many pawn shops will still purchase computers, even if they must wipe the hard drive clean of all data first. There are a few things you can do to increase the chances that your pawn shop will buy your computer. First, make sure that the computer is in good condition and is not too old.