No, I don't think so. It can only be used in a phrase like "To wpłynęło na nasz pogląd" (It affected our opinion), and even then it would often feel more natural in plural (nasze poglądy).
It would have to be in the locative case in order to be grammatical: "w naszym zdaniu". But It's just not an idiomatic expression
for "in our opinion", I guess.
We do accept "naszym zdaniem" and "w naszej opinii", though.