Yes, I think he would grant such a request*, as long as that person was not an evildoer. Lestat actually has a lot more compassion than ppl give him credit for.

But it would be on a limited basis, I don’t think he’d be satisfied finding only these types of ppl to satisfy his own insatiable needs. He loves taking out evildoers, which, among other things, saves other lives, prevents other misery. Plus, it’s more fun ;]
*Except, of course, for his own father, who was dying, and Lestat couldn’t bring himself to kill his own father, even if he only bled him out like Louis did, w/o feeding on him. There’s fanon out there about that complicated father/son relationship… in the end, it’s clear that, for whatever his reasons, Lestat wanted to make his father’s last years alive to be fairly good ;A;