Of course, that’s why the Doctor and the label, warns you to stay away from people immediately following the shots, because you can get others sick from the actual virus injected into you.
Here are some references for you to make your own conclusions. Please try to look past the site and author. Obviously, there would have to be rogue organizations which would allow opposition to post their researched documentation, similar, foundationaly, to even, Free Republic. It would not be prudent to, blindly, believe the CDC, just as most members of this site do not, blindly, accept what is reported on NBC, CNN and MSN.