If you are referring to the T-3 then yes. They are available in 22/250 and 243, I do not know if they chamber the 220 Swift.
If you are referring to the earlier Tikkas, 595 and 695 models, the majority of them were wood stocked.
As far as the average T-3 wood stocks I have seen I am not sure I would refer to them as "finely grained". Most of the ones I have seen have been more a standard grade walnut with very little figure. Although my first T-3 was a wood stock with outstanding fiddleback in it, I have never seen another T-3 stock as nicely figured as it was. I definitely won the wood lottery with it.
drover