They won't be able to resist getting kidnapped initially because they'll be unconscious (which will be explained in the actual event log) but when it comes to running around the park they'll be able to give it their all. Just don't expect to win as the odds are purposefully stacked against them, and the more they fight the more the NPCs will fight them back.

So, they can definitely escalate if they want, but they could end up getting pretty bloodied up as a result. Fighting back is definitely not unexpected - Pride is full of aggressive assholes after all.