Can you name a boy Sue?
-Sure, he can be an ambulance chasing attorney.
I believe I saw a question about the name Chaim before. The seder Hadoros, in the back of the 1st volume, has an index of names. It lists Chaim quite often, and there are numerous persons listed in Gemaras with the name Chaim. (Rabbainu Chaim Cohen in Brachos, Kiddushin, Yoma and Bechoros and R’ Chaim B. Mordechai in Zevachim to name a few).
Keep in mind that not every Tanach name is in Tanach. Adina was the mother or Rochel and Leah (and wife of Lavan). Idit, according to some (Anat according to others) was the wife of Lot. Tov is another name for Moshe. I get the impression from the Sefer that these are still considered “Tanach Names” despite their absence from the Tanach.