Is this possible?

I have multiple different websites under one (mysalsaevents.com) and each sub website needs it's own webstore in two different section, one page for tickets and another for merchandise. I bought Hikashop and was wondering how and if this would be possible and some direction on where to go from here?

I think there is two directions.

First is. You can configure your stores as a hikashop subcategories.

If you need that your stores not links together so you can create on your hosting provider subdomain for the second shop and install there joomla and second hikashop.