Can I use meditation to cure my long-term insomnia and reliance on sleeping pills?

I have suffered from long-term insomnia for years and have become dependent on sleeping pills, which I desperately want to stop taking. I started meditation, hoping it could replace my medication entirely. The feeling of failure when I can't sleep after meditating severely worsens my depression. Is meditation a true cure for chronic sleep problems, or just a supplemental tool, and how should I manage my expectations to avoid disappointment? My name is Kavya, DOB: 13/10/2002 at 12:18 AM.