No.
Paul wrote of Hades once. The translators were inconsistent in the translation and did not place the word "hell" on it like they did elsewhere in the NT, at least with the popular translations. Others placed the word 'grave' or 'death' on it.
It's a big smoking gun to the eternal damnation establishment.
The King James translation of 1 Corinthians 15:55:
O death, where is thy sting? O grave where is thy victory?
The other translations seem to use 'death' for both questions.
Do you think this may be an indication Paul had no belief in hell?
You have the verse right.
Paul believed in the spiritual condition of what Hades represents.
The name 'Hell' comes from Norse mythology and did not show up in any translation until 1000 AD in the Anglo Saxon Bible as "helle".
What people have been conditioned to believe about "Hell" today, is a pure abomination to him who is "making all things new" - Rev 21:5
Sheol and
Hades refer to the unseen, a place of the dead, the grave. Metaphorically, they refer to the objectionable, loathsome, sorrowful, and dreadful (
Mt 23:11;
Acts 2:27;
Rev 20:13-14). They were the resting places of all the buried dead and not a place of punishment.
Tartarus just seems to be the deepest abyss of Hades, which may allude to incarceration or some measure of torment, but not a dark, spiritual underworld ruled by an evil overlord.
The Norse translation is interesting; I didn't know that. But yea, translations were wacky once upon a time. Fortunately people like Robert Young eventually began to transliterate the Hebrew and Greek literally and word-for-word.