Hey Celeste,
Thanks for reaching out, we can definitely offer some advice here! There is good news and bad news.
The bad news is that we can’t offer much specific help here, since this is a customization that is theme-specific. But the good news is that both The Events Calendar, the WooTickets add-on for it, and WooCommerce itself are all highly extensible like this. I don’t know what theme is active on your site, but if it’s a decent and well-coded theme, then customizing things like this can be quite straightforward.
Your first step would be to read our official Themer’s Guide to get an idea of how The Events Calendar template-customization system works → https://theeventscalendar.com/knowledgebase/themers-guide/
You could play around with WooTickets templates from there, and move the add-to-cart form manually or by using a function like tribe_get_ticket_form().
This should be a great start and I hope it helps!
Cheers,
George