Yes, now Socxly offers you the option to Add up to 2 custom domain names inside Socxly to brand your short links.
You can also set any custom domain as your Default to create short links.
However, you can still use the free default socxly.me short link any time by switching the domain for the short links.
To use custom domains, you need to buy a Custom Domain Paid Plan at a nominal fee per year.