Does it support dynamic checkout?

Dynamic checkout is not supported.

See below for details.

Dynamic checkout displays a “Buy Now” or payment method (such as Apple Pay) button on the product page. (2 in the figure below). )

In the case of dynamic checkout, Shopify specifications do not support “cart attributes,” so you cannot use the function to specify delivery date and time.

Shopify Help Page: Display a dynamic checkout button on your online store