Yup, killing Drizzt is possible... if you scan www.gamefaqs.com, you can find codes that will generate a hostile Drizzt for you to grapple with. I could never beat him, myself...
If you like Baldur's Gate, you'll love Baldur's Gate II. It's a lot deeper without being overwhelming, the storyline is better, the NPCs have more dialogue (especially Minsc: "The butts of evildoers await my bootprint!"), and Drizzt returns... with the rest of the Icewind Dale Trilogy party!
You read it... you can't un-read it!