Yes. Just make sure you buy an enclosure which is meant for your specific drive type (guessing to be 2.5" ATA) and which has connections you can use (Firewire if possible, USB if not - but don't get USB if all you have is a USB 1.1 port, as it'll take forever). You should be able to connect and access your drive in a matter of ten minutes or less.
As you'll then have an external drive, don't buy the cheapest p.o.s. enclosure you can find, sine you'll be able to use it until the drive dies, but there's no need to go all out and spend over $100 on something like that. newegg.com has a bunch of options, as likely does your local computer store.