It's not a name I've ever heard, nor does it show up in a cursory search:
https://japanese-names.info/first-names/search-result/freeword-雨春/
I see 133 hits with
雨
and 1,041 with
春
but none that combine those two. Note that the characters may be pronounced differently, as there are multiple readings aside from "ame" and "haru."
Ultimately, it's your fiction, and your characters, so you are free to name them as you wish