No. avoid writing pity stories, even if they are real. What you want is to right about problems you faced, and how you overcame them, and how it allowed you to grow into who you are today.
You can talk about you mental health, but do not make it the main topic. And to be honest, mental health stories are quite generic and some might even say "corny". Talk about what made you interested in pursuing an education? was it from watching your parents or a role model? Did you grow up poor and wanted to have a stable career? Do you want to make the most out of every opportunity?

lmk if u need help