I’m not sure bro. Some sources on the net say that it can reduce very few esters under extreme and specific conditions. But I haven’t seen any JEE problem which goes beyond our understanding of LAH and NBH. So, I’d suggest just keep this example at the back of your head, if by chance it pops up somewhere (I don’t think it will), then it might be of use. But for all practical purposes, NBH doesn’t reduce esters.
Although, say for example if we used NBH/H3O+, then it will lead to acid hydrolysis of the Ester, and NBH has no role to play. That’s why I asked if CH3OH is more acidic than water, but then I realised we aren’t using any water in the reaction so I doubt that CH3OH will be able to ionise.