Yes, using Shopify Functions.

Backend customizations that modify store logic automatically.

Features added to storefronts, checkout, POS, or customer accounts.

Yes, through app extensions and functions.

Single payments for specific app services or features.

Fees based on how much the app is used.

Monthly or annual subscription fees for app usage.

Most charges appear on the Shopify invoice.

Yes, unless the app is uninstalled.

Shopify sends a request asking the developer to erase collected customer data.