Of course, that's one of the main reasons I recommend people spend the money on a good pair of bindings instead of going the cheap route, cause you can take them off and reuse them year after year until they explode (which if you get really good bindings, wont happen for the most part). Just unscrew them off the old skis (use a #3 phillips head screwdriver, pozidrive is best, but not completely necessary, if you don't have a #3 pozidrive screwdriver but have a standard #3 phillips head you can use it, just go easy so you don't strip the heads of the screw cause you'll be reusing the same screws when you get them mounted).