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Yes. Quick list of providers I've worked with, in no particular order:

There's a plenty of service providers that sell APIs to captcha solving services at reasonable prices.

Or if you don't want to spend money, you can always re-host things on your own site. Let your visitors do the work for you.

I assumed it was a joke. But maybe not?

There are plenty of services that do exactly that. They're pretty cheap.

The main problem is that most CAPTCHAs are terrible, and do a better job of keeping humans out than robots.