I am not a Rabbinical authority but yes, you can't mix diary products with meat from cattel goats or sheep that is from the bbiblical source מדאורייתה the poultry meat is a Rabbinical regulation מדרבנן
And some more strict fracation of the Jewish people don't mix fish with dairy, especially the ultra religious of the Jewish decedent from the Jewish expelled from Spain in 1492 the Sefaradim ספרדים.
I believe that everyone should do what he thinks is important and not letting anyone else decide for him, that whay the Almighty gave us a brain!