It's normal for them to wiggle a bit.

They aren't screwed directly to the body of the guitar, they are sitting in a mount that allows you to raise or lower the pickups. The small screws you see above and below the pickups in the middle? That's how you adjust the height of the pickups. The screws are attached at both top and bottom, and the pickups have a threaded piece that sits on the screw. Instead of tightening the pickups down, those screws raise and lower the pickup height.

As long as they aren't so loose that they move when you move the guitar around, you'll be fine. If you have to touch the pickup with your hand before they will move, that is perfectly normal and it is supposed to be like that.

Relax! It isn't broke.

Just bring it to a music or guitar shop and they'll fix it in no time.