negative.
First of all, how would you get the body into your flat, unseen by any nosy neighbours?
Secondly, a body takes waaaay longer to dissolve. The figures you read in the internet or hear in TV shows are purely fictional, I'm sorry to say.
Also, lye alone doesn't dissolve the tissue. You'd have to use lye and a very strong acid, alternantly, a procedure that would result in you hurting yourself badly or the drain pipes dissolving and thus causing unwanted attention. A week might be sufficient if you'd use ground meat instead of a whole body. If your victim was fat, it wouldn't dissolve at all but the fat would turn into a very solid wax-like substance under the influence of the lye.
Plus with lye alone the bones don't get that crumbly but remain rather solid. (That mythical trick works only with bones you cooked clean before submersing them into the lye. In a fresh bone, cartilage and periosteum prevent the immediate contact with the liquid.)
Thirdly, have you any idea how bad the stench during that week (or, closer to reality, during those 4-6 weeks) would be? Your neighbours would call police and health inspectors before you could say Jack Robinson.