Going from 550 to 650 in 3-4 weeks , Is it possible ?

The short answer is "yes" though I'm sure you already knew if you've browsed the forums.

It's all up to you - study habits (quality vs. quantity - though it sounds like you have an abundance of the later).

Check out the stories or "journeys" of others that have retaken. No need to rehash retake strategies for each post asking for advice on retaking / score possibilities. There are plenty of these available in other posts.

I think others have moved their scores more than what you're aiming to do. For example (though not intending to present myself as a sterling example of GMAT prep...), my first practice exam landed at 580. 1 month later real GMAT @ 680, 1 month later real GMAT @ 760. I was working FT plus doing some consulting on the side for all but 1 week of the study period. Most GMAT takers work FT while preparing.

On the other hand some struggle to move their scores more than 20 points despite Herculean efforts involving 12 or more months of prep.

Absolutely doable but never any guarantees. Good luck.

Yes you can ..depends on how badly you want to achieve your goal?

Just wanted to update the thread . I got exactly 650 (Q : 45 / P 71)
(V : 35 / P 74 )
(T : 650 / P 79 )

I'm very satisfied , after the quantitative part i thought i'd get a bad score , but apparently i did very well in it ( and to be honest , had a little luck in the ones i guessed ) , I also thought i'd get a better grade in the verbal part , but i can't complain .

Thanks for your help .