It exists. But you will encounter a few issues:

1. $5 is not very much money in 3rd world countries either. If you want to speak to someone with a doctorate you can expect to pay a little more than that.

2. health insurance almost certainly won't cover any percentage of a session with a therapist that isn't on their books

3. tax. A healthcare professional is generally looking after their own books too. So the only way they will bother dealing with Americans is wmthe incentive of earning in dollars anyway

4. like others have said, culture differences will play a role in the kind of care you will receive.

5. recommends for a psychiatrist or meds will need a prescription and that won't work across borders. You will need to get referred locally too.

6. a licensed therapist may not be licensed in your country, or worse, may be a hack or a scammer

But it most certainly exists. I've got a mate that treats people overseas. I believe there's also an app that connects you with someone available too. Betterhelp, Talkspace to name a few.