Yes, not only is it possible it has been used for years. In the late 1800s they were using this method for power.
It has developed a lot since that time and become very controversial but yes using magnets for energy with a permanent magnet generator is totally possible. If you read on the history of electricity you will find that Benjamin Franklin and Thomas Edison are not the only two involved in creating electricity.
One of the best things you should know is that generating energy with magnets is easy with the permanent magnet generator. Once you determine the pull and the power that it has you will realize that this is a wonderful source of power.