Good evening James and welcome to the Events Calendar Support forum!
Thank you for reaching out to us.
I would love to help you with this topic.
That is a great question.
The short answer is yes, you can incorporate gift aid to your process.
This is possible since all of the transactional side of things is handled by WooCommerce.
You could either use the following plugin (which would show up when the customer goes to the cart): https://wordpress.org/plugins/gift-aid-for-woocommerce/
Or try to incorporate it earlier using some template customization.
You might want to read our Themer’s guide to get a sense of how that works.
Let me know if that helps.
Have a great day!
Geoff B.