if it is a big window with a lot of direct light you could get a "below average plant". but sadly it is too late in the year. your plant would nt be getting enough hours of light every day, wait untill early spring. or if you can, in the spring do an outside grow, then you could get a beast. for one plant you dont need "powerful lights". If you have a space in the basement you could get a few cfls. Many people on this site hide grows from there parents, hopefully they could give you some tips.
I spose you could grow a plant now by your window but youd get a joint or two off it.
Hope ive helped