Were Adam and Eve Immortal?

According to Genesis, the tree of life by which someone could live forever was in the midst of the Garden of Eden (Gen. 3:22), and this tree was not forbidden to Adam and Eve (Gen. 2:16). Only the tree of knowledge of good and evil was forbidden (Gen. 2:17). It was not until they were banished from the garden that they no longer had access to the tree of life (Gen. 3:23-24).

We can say, based on what is presented to us in Genesis, that Adam and Eve would have had access to the tree of life and would have lived forever if they had not sinned.