does iPhone6 support eSim?

Based on your tag line, it sounds like you have an iPhone 6s – a more recent phone than the iPhone 6.

Neither support eSIM.

About eSIM on iPhone - Apple Support

Both have a tray for using a single physical nano-SIM card at a time.

Learn which size SIM card your iPhone or iPad uses - Apple Support

Remove or switch the SIM card in your iPhone - Apple Support

iphone6 esim aply

very nice

No. eSIMs did not exist when it was manufactured.