Nope, as Power said you need 2GB of RAM still...
The minimum requirements state 6GB of RAM, they put something into their coding to enforce this requirement (I have over 30GB of RAM so I don't really care but I have heard it's annoying)
What I don't get is the game doesn't need 6GB I mean neither the PS3 nor the Xbox 360 have that so they are just full of it really. I suggest upgrading your 2 2GB sticks to either 1 4GB stick or 2 4GB sticks to avoid inconvenience.
Also as a general rule of thumb do not upgrade your laptop yourself if you have never done so before rather get it done by a professional to save yourself from blowing components and having to buy a new machine altogether