did iphone 5c has touch id?

The first iPhone to introduce Touch ID was the iPhone 5s in September 2013. The iPhone 5c was introduced alongside the iPhone 5s and didn’t have Touch ID as it essentially was an iPhone 5 (which was discontinued after only one year on the market due to it being the most expensive iPhone to produce at that time) with a polycarbonate body. Every iteration after that had Touch ID up until the recently released iPhone X which adopted Face ID.

No, there is no TouchID on the iPhone 5c.

Correct - there is no Touch ID on the 5c model. Touch ID is only supported on the 5s or higher models. See iPhone 5c - Technical Specifications for the full list of hardware support.