Yes, lots of social workers and counselors work in crisis intervention in a variety of settings. It's a great learning environment, although due to the intense nature of the work there does tend to be some turnover. Make sure to have some other skills in your arsenal. 🙂 The good news is that a lot of crisis-related jobs require a masters but not a license, so they tend to be jobs where you can get your supervision.
Crisis intervention settings I've seen (and/or worked in):
Telephone crisis counselor
Mobile outreach counselor affiliated with said telephone crisis line
Community mental health intake and/or crisis worker and/or case manager
Hospital-based mental health/chem dep intake (often a combo of office walk-ins and ED patients)
Domestic violence services
Crisis nursery (place where families can drop off kids if parents need respite or have to go into the hospital themselves and need a safe place for the kids to be)
Youth runaway/emergency services
Homeless services
Employee assistance programs
I spent the first 3 years of my career doing exculsively crisis intervention and absolutely loved it. You need to be a person who's fast-paced, can think on your feet, is good at prioritizing and problem-solving, and can multi-task well.