There absolutely is. There was a successful nursing strike in Worcester, MA that lasted 10 months and the hospital didn't shut down. It was staffed by a rotating cast of expensive travel nurses.
It's a controversial maneuver because it can prolong a strike, but it maintains public support and also prevents possibly endangering the lives of people in the community, which is the opposite of what we're trying to achieve in a healthcare strike.
(Personally, I am firmly of the belief that if any service is so critical to the public well-being that a compromised strike is necessary, then that service should be owned by the public and not a corporation. But that's a whole other conversation.)
This is literally why I left management, dude. I had the worst month ever and did my P&L, and I still put $5,000 profit to the company's bottom line. I realized how much I'd be making if I owned my own business and all my hard work paid myself, and that was it, I quit. Ended up becoming a nurse because I make twice as much now as I made as a salaried manager, and I punch my clock and go home and don't think about work.