It's sort-of OK, as Elizabeth said, but 'constant' is a bit more natural.

I think the sentence is fine and natural. Here is a link to an on-line dictionary that uses "perpetual complaints" in a sentence to help define the word perpetual: https://www.collinsdictionary.com/us/dictionary/english/perpetual

I would say "I'm sick of your constant complaining."

'I'm sick of your constant complaints' would be a more natural alternative way to phrase this.

"I m sick of your non-stop complaints'' sounds more naturel