Does iPhone 7 series support eSIM?

No, the iPhone 7 series do not support eSIM, including iPhone 7 and 7 Plus.

eSIM is a new technology that allows you to use mobile plans without inserting a physical SIM Card. iPhone 7 / 7 Plus was designed to work with traditional nano-SIM cards only.

This new feature is only available in later models starting with the iPhone XS and XR. You can check out  compatible Apple phones here.

NOTE: Be aware that eSIM is not available everywhere or on every device. Your location or who you buy your phone from sometimes affects the availability of eSIM.