I honestly don't see it happening. They were good friends, with Tuvok being a trusted advisor, but nothing more. Also, given Tuvok's morals it would be unlikely. Yes, he was tempted a few times (Noss, Marayna) but as far as I know, he never gave in.
Even when he needed to 'cheat' to save his very life, he still had to be convinced that a holodeck recreation of his wife didn't count as cheating, if memory serves me.
Maybe Tuvok had better mental discipline than Vorik.Even though it contradicted Bloodfever.
Vorik had no interest in holograms.