Not really.
The game was created in 1998 and is the influence in most story driven FPS games that are released today. The overall story in Half-Life 2 doesn't really involve Half-Life aside from a few key elements.
But....... I wouldn't play Half-Life 2 before Half-Life just because the original is such a good ****ing game. It looks old and plays a bit like a game made before 2000 but it's still a good quality game.
Considering if you buy this game on Steam (and should), you would want to get the Half-Life Complete Pack so you can play Episode 1 and Episode 2 (the shorter sequels to Half-Life 2), so Half-Life comes included with that package and I would play it just so you know some of the references Half-Life 2 alludes too.
It's not a big deal but if your planning on getting Half-Life 2 on Steam, you might as well because it's still a great game.