No we can't - Community bot is SE-wide behaviour and we can't do anything about it.
There's various reasons why you might see something as bumped by Community, for example the bot bumps old open questions that don't have an answer with a score higher than zero. Personally, I really wish it didn't, I've never seen any real value come from it happening, either here or on other sites on the network, but as I say this is not something that's within our control.
Questions/Answers aren't solely for the benefit of the OP, although obviously they are a major recipient and this element is substantially decreased when significant time has passed. IMO this should be factored in when people consider resurrecting an older question and the amount of times I've seen an unsuspecting new contributor not realise that the question they've written an answer or comment directed at the OP on is 5 years old simply because that pesky bot has bumped it to the main page for one reason or another is depressing. On the other hand if a user who knows full well that the question is ancient and the OP themselves long gone can write a great answer that really adds value for future readers I wouldn't want to discourage that.
Eagle-eyed users will spot there's some questions that have been bumped by Community in the last 24hrs or so that don't meet this criteria, this is actually down to a peculiarity of the way the SE system handles certain curation actions.
Take this question as an example, there was a new "answer" added that consisted of a repeated profanity (10k users will be able to see the deleted answer if they really want to) and it was (rightly) flagged into oblivion and the system took care of it. Hence "Community" has updated that question recently and it gets bumped.