i don't know anything about your computer or chip size so I can't tell you exactly but if your talking about like core2duo to like core2quad, yeah that wont be happening.
Plus if you had that much power on a laptop it would eat your battery power so fast and produce so much heat. The first gen i7's were the first quads on laptops that were actually stable, although not recommended for their power consumption, they were pretty underclocked running under 2.0Ghz on all windows laptops.
Second generation i7 processors are much better and acceptable at running quad cores. I recommend if you really want a more powerful computer, you might as well save up and upgrade to a new computer, than spending a lot to upgrade the processor. But still be limited by RAM SATAII and motherboard.