Is it wise for me to get into this relationship, will it last or will there be issues at the end
It's up to you.
If she's into you, why not give it a try? Not all girls are looking for boys that are already well enough. There are still a lot of them that want to start with someone who's got nothing and then make them their king.
A girl like the one that pursues you probably sees some good qualities in you. If you are broke but yet you're hard working and kind, she's believing you that your life with her will change soon.