I personally would not as tiger barbs are known to be the more aggressive of the barbs and fin nippers. I think those beautiful and long fins on Angels would be tempting to them. However, keeping them in a school might keep them away from your angels. Most fin nippers are ok as long as they have a few of their own species to chase around.
There are others here that will disagree and testify to doing this themselves. If you had a larger tank like a 55 or 75, then you prolly have more flexibilty as the 2 species would have more room. I have a 29gal myself and don't think mixing angels and tiger barbs would be a good idea.
You still have a world of options besides Angels:
- make it a "barbs" species tank, with 4-5 tigers, and 4-5 more of another type... they sell those tiger barb look-alikes as in the gold type. I have 3 Rosey barbs... they are as active as the Tigers.
- you definitely need at least a couple of bottom guys: 1-3 Cory cats or 1-2 SAEs or 1-Red Tail Shark for starters.
- other fish I'd keep with tiger barbs: Zebra Danios, red eye tetras, pristella tetras, Harlequin Rasboros, Lemon Tetras, lots of nice fish out there!
As a 29gal owner myself, angels would be one of my last choices to go with 4-6 Tiger Barbs.