Not yet, because Fluxer isn't federated yet and each instance has its own accounts. Until then, your Operator Pass stays on the fluxer.com account that has it.
Once federation is out, the plan is that you can move your account to another federated instance, including one you run yourself, and your pass moves with it.
Why would I want to move my pass?
Many people who buy a pass also run their own instance, because they don't want to depend on fluxer.com or anyone else's instance. Say your instance is example.org and your account there is alex@example.org. You'd want it to be your only account, with one set of login details, not a second one on fluxer.com just for your pass.
Once federation is out, the plan is that you can move your fluxer.com account to example.org and keep your pass. From there, you could still join Fluxer Labs on fluxer.com and get into #operators, because your pass stays with your account.
Can I buy the pass with an account on a self-hosted instance?
No. You buy the pass with a fluxer.com account, because that's where we handle checkout, billing and your certificate. You never need a pass to run your own instance, and the pass doesn't unlock or change anything in the Fluxer software you run.
Can I pass it on to my account on another instance?
Not today. You can only pass a pass on to a fluxer.com account you're friends with, and other instances' accounts can't be your friends until federation is out.
How will moving my account work?
Moving your account to another instance is part of polyproto-core, the base specification that Fluxer's federation will be built on. You can read how moving will work, and the plan is that your pass and what comes with it move with your account.
Can moving my account put my pass on someone else's account?
No. Moving keeps it the same account with a new address, for example alex@example.org instead of your fluxer.com address, so your pass stays with you. To give a pass to someone else, you pass it on, which works between friends on fluxer.com today.
What happens to my certificate?
Nothing changes. Your Operator certificate is a PDF that's yours to keep, whichever instance your account is on, and the numbers on it stay the same.