Not if everything else is normal. Airliners are built with the expectation that they will be boarded to the back first on some airlines.
The CG limits for the 737 are approximately 12%-30%31% MAC, depending on model, and that is at MTOW. At less than MTOW, the CG can be as far back as 36% MAC. You'd have to put more passengers in the tail end than it's able to normally accommodate - think clown car packing density.
To be specific, taking 173 pax at 200 lbs each, at near-MTOW, having only the tail 20% seated would shift the CG 1730.240%*200/173000 = 1.6% back. The plane shouldn't be just 1.6% away from the limit in the first place. And this assumes a straight tube without an actual tail and aft pressure bulkhead.
To tip the airplane back, it needs to also have very wrong, tail-heavy loading in the cargo/luggage compartment.