Very nearly. The Saturn V put 150 tons into low Earth orbit (Skylab), and (despite some Russian claims) the F1 engine remains the most powerful liquid-fueled engine ever built. A "multichamber" engine (available with either single or double axes of movement) from the old Energia is actually four engines sharing some structural components (iow, welded together), each engine producing about a quarter of the single-bell F1. Five F1s (as we all know) powered the Saturn V.
Strapping together more than three of the Shuttle's SRBs would be required to throw 200 tons into orbit. Wonder how Caligula would have used that capability? ;')
Such a large launch vehicle would be possible. It would be quite a show when one of them exploded as would invariably happen from time to time. The sonic boom from the explosion would stun birds and knock over rabbits for miles on the Cape.