Yes, but only in a limited way without modification. The T2i has an internal IR-blocking filter, so if you put an IR-pass/visible-light-blocking filter on the lens, you can still record infrared with very long exposures.

For more practical IR shooting, the camera can be converted by replacing/removing the internal hot mirror and, in some conversions, replacing it with a filter that blocks visible light. That allows handheld shooting without an IR filter on the lens.

However, community reports specifically note that the Canon 550D/T2i is not an especially strong IR performer even after modification. Besides the hot mirror, another part of the sensor stack (possibly the low-pass filter) may still reduce IR sensitivity. So while IR is possible, this model may be less effective than some other cameras.

Also, good IR filters matter: stray visible light reaching the sensor can reduce the classic infrared look, such as bright foliage.