No, not chest compressions, though that IS what you go to if they don’t stop choking, and then become unconscious (because not breathing is a direct path to not beating). Again, I’ll refer to the wikipedia article someone else has posted in these comments, but chest ‘thrusts’ are similar to the abdominal thrust, but your hands are placed higher, around the rib cage rather than just under it as with the heimlich/abdominal.