It refers to someone who, despite their current poverty, has the potential or prospects to rise above their circumstances.
Essentially, it implies that the person is not destined to remain poor forever and has the potential to achieve a better financial situation in the future.
This phrase might be used to describe someone who is:
* Ambitious and hardworking
* Has a promising talent or skill
* Has received a lucky break or opportunity
* Has a supportive network that can help them succeed
It's a hopeful phrase that suggests that poverty is not an inevitable fate, and that with the right circumstances and effort, anyone can improve their situation.