It depends, j.
MOVs, like AVIs, are just a carrier for your video. What matters is the codec (compression system) that was used to create the MOV.
The easiest way to find out your video's codec is to open a sample clip in a program like G Spot or Media Info.
http://www.headbands.com/gspot/When you open the file in either of these programs, the program will list the video's resolution, frame rate and, most importantly, it's audio and video codec.
Premiere Elements will work with many MOV codecs -- but not all. Many still cameras save their videos with the MJPEG codec, which many video editors (including Premiere Elements) have trouble working with. However, installing the latest version of Quicktime from Apple.com (per the program's requirements) can provide you with extended support for many codecs.