Yes, you sure can! There are 2 options:
This option works by sending an email to a special email address. When the email is received, it's converted to an SMS and sent to everyone in the contact list. To get the group SMS email address for a contact list:
There is a limit of 1000 contacts per group send. If you'd like to send to more contacts, please use the SMS Campaigns area.
This option works by sending an SMS to a dedicated number. When the SMS is received, it's sent to all users in the group. Any user can respond to that SMS, which will be sent to all other users.
To set this up:
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