No. It is very specifically pronounced “Ope”, like “hope” without the “h”, and it has it’s own distinct meaning.
The thing I’ll say is closer to “‘up” And I use it more like “oh no! You caught me inconveniencing you. I’m so embarrassed 🫣”
Definitely seems related though…
The more I think about it the more I think it’s actually something I say, just not consciously. And I’m from the Mid-Atlantic; not the Midwest.
Also found this article that hypothesizes a few origins including, yes, a shortening of “oops!”