You mean Crossbow Expert, but yes, and you still get the 3 attacks per round a fighter would! Also Three feats, so get your dex up to 20, add Sharpshooter so never disadvantage from high ground...
The only thing I miss here, is that you never get to pick an archery fighting style to offset your -5 to attack. You shot very fast, but oftentimes miss, as well. SO by that rationale, I'd much rather do a 6 Fighter [three feats, 2APR, fighting style] 6 Thief [2 Bonus Actions]
That way you have *four* shots a round, +2 to attack from fighting style and still get 3D6 from Sneak damage.
Either way, thief is the only class that consistently gets 3 Attacks in at Level 3, although a Monk technically attacks three times using one mainhand and a Flurry of Blows. By that token, a Monk 8 / Thief 4 gets the most attacks per round unbuffed; two mainhand, four barehand - that's six. A fighter 11 can do that once per short rest, a thief monk can do it consistenly at level eight.
BUt. While this is all fun. Nothing beats the Water/Lightning combos possible with this, or the allmighty barrelmancer.