Yes, but it really isn't easy.
I think there is a game save application that will extract the files for you, not sure about this though.
You have to copy the save files in Mydocuments somewhere, which is the easy part. You then have to copy a bunch of the GFWL stuff over from in the program files and also mydoc's directories.
You should certainly test the copied saves on your new computer before removing any data from your old computers hard drive.
I had to copy everything to do with GFWL. With just a straight copy of the save files, F1 2010 wouldn't recognise the saves, they were corrupt. I might be able to tell you directories later.