Well, yes and no: yes in that you can squeeze in the two Cleave feats plus Sweeping Strikes, no problem; no in that two of the big advantages of Acrobat are the atk speed and doublestrike bonuses, which do nothing for Cleaves.
Finesse does nothing for staves; the Acrobat cores take care of DEX to-hit & dmg if you're going that route.
FYI, this is the
Acrobat build I was planning for my next ITR. I stayed pure for the capstone, natch, though on an HTR-only build I might consider a deeper multiclass, such as
this Zeus variant, since you won't be at lvl 20 long enough for the capstone to matter.