Is there a paid support for PhysX?

I see that a number of questions here have “0 replies”. Even the ones with replies are sometimes so general, that they are not helpful. I get the feeling, if you have a problem with PhysX then you are lost.

I would like to send a PhysX problem to a PhysX professional and get a professional answer in time. Of course I do not expect such a support to be given for free, but is such a support available at all?

Yep, afaik there is paid ticket based support.
Try to e-mail physxlicensing@nvidia.com