Well, we've already seen such a fight, sort of. In the fifth movie, Chomper's parents fight a different kind of large predator on the island. At first, the other predator (which looks sort of like a Tyrannosaurus) hold off Chomper's father, who is thrown back. Then, Chomper's mother tries to fight, but she is defeated and stunned on the ground. Before she can be killed, Chomper's father counterattacks, sending the other predator off of a cliff and into the water.
A little bit of blood was shown in the fight, but was limited to little red lines on Chomper's father (I think.) In the end, the other predator drowned.