Can you buy your own airship / dirigible / zeppelin?

If you can't buy one you can try to build one. Whichever way you go there are regulation hoops to jump through.

https://www.faa.gov/aircraft/air_cert/design_approvals/airsh...

https://pilotinstitute.com/private-pilot-requirements/

I assume you can buy anything if you have the budget for it. Or even build your own. Unsure what license you would need to fly one though...