(I'm addressing the outcall here:)
Of course you *can* do that.
When the police arrive, they'll find a hysterical crazy woman saying you've been busy hitting her, or raping her, or whatever.
Of course, the police are fair minded and will immediately sit you both down and talk gently to you both before ascertaining the truth of the situation. No, wait - that's marriage guidance councillors.
Good luck - let us know how it all went when you've been released.
In other words, you can, but whether you should or not is a different matter. A better question is "how do I avoid getting in the situation in the first place".
[if my above reply is tart and sarky, I found myself in exactly the described situation, not with a SP but with a wife. And the police did indeed immediately arrest me. That was a good week. Why would it be any different with a SP involved?]
(in call):
Of course you can report a robbery. You've not committed a crime and she has. Whether they'll be sympathetic is down to luck and even if they are, you'll probably just get a crime number. Watch 24 hours in police custody from a few weeks ago.