Yes, if your knife is allows for it.
Some (but not all) modern folding knives -- like those from Benchmade, Zero Tolerance, Spyderco, Kershaw and other makers -- accommodate more than one position for the pocket clip, allowing either left- or right-handed carry, as well as tip-up or tip-down carry. Take a look at the current position of the clip on your knife, along with the way it attaches, and then look for vacant holes or grooves in a similar pattern at the other end (and on the opposite side) of the handle.
You'll need the proper tool to remove (and re-insert) the screws securing the clip to the knife, usually a Torx driver. (We like Benchmade's Blue Box Toolkit for this.) Simply remove the screws holding the clip in place, move it to the new position and replace the screws.
Consider applying a drop of mild thread-locking compound (like blue Loctite) to each screw. And whatever you do, don't over-tighten the screws.
At some point, of course, you may decide to remove the clip entirely, and that's fine -- it won't affect the function of the knife. Be sure to put it (and the screws) in a zip-closure plastic bag, just in case you change your mind and want to put it back. Don't put the screws back in their places in your knife's handle, however -- without the clip in place, the screws can drive farther into the handle, which could scratch the blade or even interfere with its function.