I used to have my own website and hosting (I can provide you with its name upon request). I paid for it annually, but unfortunately one day, I failed to pay for the hosting service and my site vanished into thin air.

Is there any way for me to retrieve my lost website?

It seems to me that we don't share the same opinion. However, it's worth noting that even the worst hosting company offers a chance to pay off your debt within a period of 14 days (sometimes even 30 days). The website won't just vanish into thin air. If it's no longer accessible, it's either because you've exceeded the overdraft period or there are some hidden issues. To find out who owns your domain name, you can use a whois or similar service. If the name is still available, you can effortlessly retrieve your website.

It's essential to choose a reliable hosting company to avoid any issues with your website. Always read the terms and conditions carefully before signing up for a hosting plan.

If you failed to pay for the hosting service, it is possible that your website's data may have been deleted by the hosting provider. However, there might still be a chance to retrieve it depending on the specific circumstances.
I would recommend reaching out to your hosting provider's customer support and explaining the situation to see if they can assist you in any way. They may be able to provide you with options or backups of your website, so it's worth trying to contact them and see if they can help you recover your lost website.