No, he didn't.
Let's skip ahead to David because he still falls before Christ, so into the position you are placing Adam but better serves me to make my point.
There is a good chance (not 100%, just a good chance) that the King we know as "David" was not known to his people as "David." That Hebrew word means, "beloved," and very well could be what God called him because God clearly had a relationship with David. Even if not the case, it can't be a coincidence that the one God called, "the apple of my eye" had a name that means my beloved. The question shouldn't be, "was David saved?" the question should be, "how could the beloved of God, the apple of His eye, one God had a relationship with NOT be saved?" Well, here is how I deal with this...
We are not alive during the time of Yeshua's death and resurrection. And so we live looking BACK at what he accomplished. David, lived looking FORWARD to the work he would accomplish. So we are both looking to Yeshua and what he would do in order to clean the slate... but we are simply looking from two different directions. We live looking back, David lived looking forward but we are both looking toward the same person (if you will) and the same events.
What about Adam? Well, God told them what was going to happen in Genesis 3:15, did He not? If Adam lived looking forward to that day and the work that God would do to make it happen... does Adam have to understand every detail of how God was going to restore all things or is it enough that his heart was aimed at God in love and trust and in FAITH knowing that God would see this thing through? Adam lived looking forward to Yeshua's work even though at that time, he didn't understand how each detail would come to pass.... just as WE don't understand every end time detail and don't tell me we do (
) because if you go there I will provide you with a Christian bookstore that has 250 end time books and not one of them agrees 100% with the other as to how things will unfold. We don't know it all... we just know that Yeshua did the work that was necessary and we trust him for the rest. Adam, Noach, Abraham, Moses, David.... they lived looking forward to the work, KNOWING it would come, but not knowing every detail.
So the answer is... they are saved by grace through faith just as we are... just from the other side of the event. They accepted God would do the work and we live knowing He did... but our hearts are in the same place.