Would Jason Voorhees hypothetically fail at being a martyr? Think carefully first, then make a decision:
A martyr is someone that is killed for their beliefs. Jason Voorhees is the horror maniac from the Friday the 13th movies. Jason Voorhees is immortal and cannot be killed. Characters in Friday the 13th thought that dismembering Jason Voorhees would kill him but Jason even survived dismemberment. So, the answer is yes.