Does Apple Watch Sport series support eSIM?

No, Apple Watch Sport does not support eSIM, including Apple Watch Sport 38mm and Apple Watch Sport 42mm.

eSIM is a new technology that allows you to use mobile plans without inserting a physical SIM Card. The Apple Watch Sport was designed to work with traditional SIM cards, not eSIM technology. If you want to use eSIM, you have two options:

1. Use a special SIM card adapter: You can purchase a special adapter that allows your device to handle eSIM profiles. This adapter can be used to enable eSIM functionality on devices that do not have native support for it.
2. Upgrade to a newer Apple Watch model: If you want built-in eSIM support, you will need to consider upgrading to a newer Apple Watch that offers this feature. Starting from the Apple Watch series 3. Check out eSIM-compatible Apple Watch here.

Note: Remember that eSIM availability may vary depending on your location and the devices offered by your mobile service provider.