Yes to talking to them - the best time to find out that they're not able to handled a crisis, is when you're NOT in crisis
Can you ask them a little about their experiences? Things like... have you dealt with someone in this situation before? How do you typically handle this type of crisis? What would you do if this happened?
You might also ask: Do you have professional support? (I like to ask this sometimes, but to be clear, I'm not trying to pry and get details. I want to know how they get help, professionally, if something starts to feel beyond their capabilities. Do they have a supervisor or a supervisor team that they talk to regularly? Are they posting on the reddit for help - hope not! Etc.)
And, I also like to ask (sometimes) for them to tell if they've ever had to terminate therapy with a client who didn't want to leave, why, and how that worked out. If they say "no, I've never done that", I ask them under what circumstances they *might*.
I've had one T who was very, very thoughtful about this answer. He told me about someone struggling with addiction who only wanted to come to therapy once every 8 weeks or so, and that he didn't feel he could really help in that situation, so he terminated.
I saw another therapist (just once!) who told me that she had never terminated anyone, and couldn't imagine any circumstance where she would - which I thought, either she's not very bright, or she's lying. Because clearly, there are some circumstances (i.e. client being physically threatening) which would clearly warrant termination. So, I didn't go back.
Good luck!
Mostly I like to see how they think and respond though, more so than the actual answer.
Not sure if that helps. But again, it's probably much better to talk about it upfront, before you're in crisis, when it's not such a critical, emotional issue (and before you're super attached!).