Yes to the original question and yes, yes yes to this ^. I wouldn't even try to pry it out I would let the duct tape do all the work. I think there is less chance of the corn returning if you let the tape do the job of killing it versus you trying to pry it out and chance leaving a bit and that regrowing. Here's a picture of a corn working its way up out of Chase's toe. I went to put on some fresh tape a short time later to find the corn gone and little evidence it had ever been there. There was no divet were the corn had been, the corn had been replaced with healthy tissue.
Edited to say sorry for the GINORMOUS picture.