Is it possible to get a stalemate in Checkers?
If you do not force capture then it's very possible, trivial even, to have a stalemate.

Even without though:

From wikipedia:

English draughts (American 8×8 checkers) has been the arena for several notable advances in game artificial intelligence. In the 1950s, Arthur Samuel created one of the first board game-playing programs of any kind. More recently, in 2007 scientists at the University of Alberta[13] evolved their "Chinook" program up to the point where it is unbeatable. A brute force approach that took hundreds of computers working nearly 2 decades was used to solve the game,[14] showing that a game of draughts will always end in a stalemate if neither player makes a mistake.[15][16] The solution is for the draughts variation called go-as-you-please (GAYP) checkers and not for the variation called three-move restriction checkers. As of December 2007, this makes English draughts the most complex game ever solved.