No.
EBay makes its money from the fees you pay when you sell items from your eBay listings. (It may also make money from your listing fees, if you are not using the Free Listings that are widely available.)
If they allowed website addresses to be in listings, especially on Free listings, they would be a free advertising site, and not a sales venue.
You can put your website on your ME page, probably because nobody reads those.
And you can tell your buyers about your website by adding a written note to their parcel when you ship.