Some but not all of them.
Actually, all of the Enterprise's shuttlecraft are warp capable. However, the shuttlepods are not.
 Thanks to Memory Alpha for the picture.
This is an example of a shuttlepod. There are three types: 15, 15A, and 16. They were described as short-range sublight vessels.
The Star Trek TNG Technical Manual lists three types of shuttlecraft: Type 6, 7, and 9A. The shuttlecraft that Captain Scott gets into at the end of Relics was a Type 6. The shuttlecraft that Wesley and Picard take to the starbase in Samaritan Snare was a Type 7. The Type 9A never appears on screen to my knowledge so is not "canon", but the Tech Manual describes it as a long range cargo shuttle 10.5 m long. Admiral William Thomas Riker 22:07, July 26, 2011 (UTC)
I believe the shuttle in Samaritan Snare was sublight (hence the 6 hour flight).