Small correction: it’s awful for a poor person to live in debt. If you are quite wealthy there are lots of ways to borrow money and it’s all good!
If you have a negative net worth (more debt than assets) you're generally not considered a wealthy person.
That's only true if your debt and assets are both small. If you have $200 million in assets and $500 million in debt, you will be considered a wealthy person. You would only stop being wealthy if your stuff got taken away.