At the risk of sounding memetic, the question is not so much "Can you?" but "Should you?". Should you store a monolithic application across multiple repositories? Should you store a distributed application in a monolithic repository?
I agree with @likortera that you should not. And that's because...
> The way you store your source code doesn't have much to do with how your system is deployed.
I disagree with this statement.
Your architecture (monolithic vs distributed) imposes certain assumptions on other aspects of your distribution pipeline. Your workflow (in this discussion "how you store your source code") should support these assumptions, not hinder them.
For example, one benefit of microservices is that cross-functional teams can develop independently of each other. And yet one cited advantage of monorepos is that everyone is on the same version of dependencies all the time. In short, your teams are not independent after all.
Note that I'm keeping the example extremely generic to illustrate this inconsistency, a conflict of interest if you will, that I see people commit in this topic, because in my experience, these questions are not purely technical but involves product/business factors as well. Maybe for most of the people (operative emphasis on "MAYBE", because who am I to judge you), the discussion they need to have first is whether or not they are using the right architecture for their product in the first place.
If you choose to have a microservices architecture, you have to live with the fact that your teams/services will operate at different cadences. If you feel the need to impose a One True Library Version All the Time, then go for a monolithic architecture, and store your code in the same way.