Yes you can, you just use Webmail. Which means you can access your email using a web browser from anywhere, even when you are away from your own computer.

Simply point your web browser to http: // www . yourdomain .com/webmail/.
(replace yourdomain.com with your actual domain name and remove spaces)

Remember that your username is  you@yourdomain.com and password is your email password.

(replace the you with the name you have set up, replace yourdomain.com with your actual domain name)

Then choose an email client (program), e.g. SquirrelMail to read and send mail.

It's also useful to use Webmail like this if you are having problems with your computer's email system, e.g. Outlook.

Alternate method
Just login to your hosting cPanel (www.yourdomain.com/cpanel), then open Email Accounts. To the right of each account, click More v / Access Webmail.