No we do not.
We do, however, provide email forwarding service. You can set up as many different addresses at your domain as you like, specifying where each one should be forwarded and/or use "catchall" forwarding to send everything to a single address.
This service only handles inbound mail, and only forwards it. You will have to make other arrangements for a mailbox to receive the messages, and to send outbound mail.
For that, the first choice, and often the best one, is to use the email account(s) provided by your ISP for this, but there are other options. Many of our members choose to use email services like Gmail or whatever Microsoft is calling their email this week.