Yes. To the right you should see a link "sent items"... this is all of your sent messages.
The Message feature
Sort:
Most Recent
Forum Legend
Following
New Comments
Locked Topic
Pinned Topic
Is there any way to re-read a message you've sent after you've sent it? I recently had to ask myself, "Did I tell him . . . ?" and I couldn't remember. I had to wait and read his answer with my original message. But then, as soon as I replied, I again couldn't read my last outgoing message. Is there a way to re-read your own outgoing messages? If not, I'm suggesting it as an enhancement.
BTW, the wealth of features on Chess.com continue to amaze.
Jack