Yes this totally doable.
I used a Porter Cable "Saw Boss" (small diameter circular saw) with a segmented dry diamond blade. It cuts through tile & tile grout like butter. Very dusty operation; eye, ear & dust protection needed (not those silly white ones but real one). I used a small shop vac with a HEPA filter on the dust port of the saw.
Just recently I knocked down & cut up a 8' x 25' stucco garage wall. Removed the studs & top plate from the inside of the wall dropped it onto five 2x4 sleepers. Made five vertical cuts & two horizontal (through the stucco & wire) so I had easily handled pieces. Once the studs were removed & the wall pushed over; it took about 20 minutes to do the cuts & a few more for a couple of guys to toss the chunks in a truck & away they went
The diamond saw works fine on tile & grout but just burns the wood. I would err on the side of not deep enough & just crack the cement if need be. The important issue is to get through the wire.
cheers Bob