No it's not.
And
the Pharisees also, who were covetous, heard all these things: and they derided him. And
he said unto them, Ye are they which justify yourselves before men; but God knoweth your hearts: for that which is highly esteemed among men is abomination in the sight of God. The law and the prophets were until John: since that time the kingdom of God is preached, and every man presseth into it. And it is easier for heaven and earth to pass, than one tittle of the law to fail. Whosoever putteth away his wife, and marrieth another, committeth adultery: and whosoever marrieth her that is put away from her husband committeth adultery.
There was a certain rich man, which was clothed in purple and fine linen
The Holy Bible: King James Version.
as is clearly evident fron the passage Jesus was speaking to the Pharisees. The Pharisees didn't believe in ghosts.
"
Another parable spake he unto them; The kingdom of heaven is like unto leaven, which a woman took, and hid in three measures of meal, till the whole was leavened.
All these things spake Jesus unto the multitude in parables; and without a parable spake he not unto them: That it might be fulfilled which was spoken by the prophet, saying, I will open my mouth in parables; I will utter things which have been kept secret from the foundation of the world."
The Holy Bible: King James Version
As is clearly evident in the passage Jesus only spoke to them in Parables. Thus, the Rich Man and Lazarus is a parable.
It's also not the only place where someone suffers in fire in hell Jesus is actually alluding to the song of Moses. God gave the song to Moses to teach to the Isrselites about how in the latter days they would turn away from God.
"They have moved me to jealousy with that which is not God;
They have provoked me to anger with their vanities:
And I will move them to jealousy with those which are not a people;
I will provoke them to anger with a foolish nation.
For a fire is kindled in mine anger,
And shall burn unto the lowest hell,
And shall consume the earth with her increase,
And set on fire the foundations of the mountains.
I will heap mischiefs upon them;"
The Holy Bible: King James Version.
We see here that it is God's anger that shall burn to the Lowest hell or Hades when this judgment takes place. Paul also quotes from this passage and applies it to his day. So, we know when it was. This is flame that the Rich Man is suffering in Hades.
This passage and the one in the "Parable" of the Rich Man and Lazarus are the only two passages of Scriputre that speak of fire in Hades. So, it's clear that Jesus was referring back to this passage.
I spent a whole chapter in my book breaking this parable down. Look at the details and see if you can figure out what they mean.