Can I have SSH access to my account in shared hosting?

By default, hosting companies do not offer SSH access on shared hosting plans. But you can consider cheap website hosting where you can request SSH access if you have a good reason or cheap dedicated servers where you have full root access.

Usually, SSH access is not provided by default, however, some web hosting providers offer jailed SSH to manage services through SSH. It can be requested by contacting the hosting support team.

I agree with the above answer. Scopehosts offer SSH access with limited rights with the shared hosting plans. Once ordered, you have to contact through ticket.