Are any of the animals on Noah’s ark specified in the Bible?

Yes, a raven and a dove.

In Genesis 8:7-8, they are the birds Noah sent out to see if the waters had begun to subside:

And he sent forth a raven, which went to and fro, until the waters were dried up from off the earth.

Also he sent forth a dove from him, to see if the waters were abated from off the face of the ground.