No, if you draft any Chris Paul, that’s it. No more Chris Pauls for you. Other people can draft him, as long as he is in a different price range.
If a player gets traded in mid season, more than one partial season of that player or the combined seasons of that player are all eligible, as long as they are in different price ranges.
A good example is the James Harden 3-4 and the James Harden 4-5. They are both from the same season, they are both eligible to be drafted, they just can’t both be drafted by one person.