Hello,
Go to Theme Settings > Shop > Catalog Mode > Enable “Catalog Mode” to hide all “Add to cart” buttons, cart widget, cart and checkout pages. This will allow you to showcase your products as an online catalog without the ability to make a purchase.
But additionally, Enable Wishlist > Go to Theme Settings > Shop > Wishlist > Make sure the wishlist option is enabled > Visitors can click the heart icon on products to add items to their wishlist.
You can create a custom message on the Wishlist page asking users to submit their wishlists via email or a form.
Best Regards,