Can you fair catch a kick off in the NFL?

Yes. Any kick, punt or kickoff, can be fair caught. One major difference between fair catching a punt and fair catching a kickoff is that the kickoff is a free kick. Where a punt returner deep in his own territory may call for a fair catch and let the ball bounce on the ground in the hope that the ball will bounce into the end zone for a touchback, the kick returner must catch the ball due to the fact that a kickoff is a free kick and the team that recovers a free kick is awarded possession of the ball.