The most popular bible verse, Matthew 19-24 states it is easier for a camel to go through the eye of a needle than for a rich man to enter heaven´s kingdom.
Reading further into Matthew we find another popular quote, “With man it is impossible, but not with God. For with God all things are possible.”
God does not condemn anyone for having money. He warns against boundless greed above all else but that doesn’t mean you can’t strive to be successful and have nice things.
The answer is yes, it is possible for a rich man go to heaven. As written in the Bible, there were testimonies of rich people who faithfully obeyed God and there are actually many of them.