The short answer is: Not yet.
The career trajectory for QA as I have known through years: (Bottom to top)
- Intern QA
- Associate QA
- QA
- Senior QA
- QA Lead
- QA Manager
- Principle QA
- Head of QA Department.
I have heard about this role, but never came across any person with this title until now.
If the organizations would hire someone like Staff Quality Engineer: I believe someone with vast expertise in software industry standards & ISO 5055, help in making software company achieved that level.
The influence this person might have of course earning tenders/bids - authority of accepting or rejecting certain client proposals.
Someone who holds an authority and can easily share trail of dos/dont’s within “Quality perspective” with higher authorities internally and externally.
I believe also a person responsible for ‘QA Standard Audits’ by external parties whether QA process is in compliance with legal standards and responsible for due diligence.
As they say: With great power comes great responsibility! 
Would love to hear your thoughts though?