Is it possible to do laravel queue process through ssh in cpanel shared hosting ??

https://documentation.cpanel.net/display/68Docs/SSH+Access

It depends on your cpanel. The host may allow ssh access, but they have the option to turn it off. You'd have to check with your hosting provider.

If you are sending out a large amount of mail, shared could limit that as well. You may want to look at a dedicated server.