NO!
If your going to buy a DSLR for video, get a 60D, 7D or 5D. The T2i is way too light and flimsy, plus it makes the jello effect on the CMOS censors 10X worse. And you may be thinking, "Well its the same quality as the 60D and 7D." But its totally not, the 60D is slightly more expensive, but has a wider range of controls like the 7D. It also has a much bigger/durable body, a much much much better LCD screen that flips out, (and its perfect if your shooting fish on a handle with a focus wheel) PLUS the LCD screen is lined up the same way as the 7D and 5D so you can use view finders that mount to the camera. (Like the Z-Finder for example) You'll get a much steadier shot if your shooting long lens with a mounted viewfinder.
If your going to shoot with a DSLR, you cant go cheap.
and Jonah, he's talking about the T2i, the T1i video feature was seriously just canon testing the waters.