Is it possible to remove than add back click event to specific element? i.e

I have a $("#elem").click(function{//some behaviour});, $(".elem").click(function{//some behaviour});(there are more than 1 element) while my other function getJson is executing I'd like to remove the click event from the #elem, and add it again onsuccess from getJson function, but preserve both mouseenter and mouseleave events the whole time?

Or maybe create overlay to prevent clicking like in modal windows? is that better idea?

edit :

I've seen some really good answers, but there is one detail that I omitted not on purpose. There are more than one element, and I call the click function on the className not on elementId as I stated in the original question