Student or Learner
Is it like a break-up?
''How are you?"
"Not so good. I'm getting over a split."
I've just split (up) with my girlfriend.
My wife and I split (up) twelve years ago. I haven't seen her since the split.
Fine as a verb, and as a noun with the definite article but, like bhaisahab, I haven't met it with the indefinite article in this sense.
In a non-relationship meaning, it's possible:
There has been a split in the ranks of the Liberal Party.