Self hosted checkout possible?

[cyberwombat]

I see that the demo goes to a shopify page but not finding docs that say that it has to be that way. Is there a way to handle payment in Hydrogen? Like Stripe does with their UI elements? Id like to customize the checkout a bit but cannot without Shopify*
Update: I just saw "The Payment resource allows sales channels to build a fully native checkout experience by submitting a customer's payment details directly to Shopify." so sound possible. Wonder why demo store doesn't
Thanks