No, iPhone 6 Plus does not support 3D touch. It is a new hardware, Apple calls it 3D touch (or force touch). If you want to enjoy 3D touch on your older device just jailbreak your iDevice running iOS 9.x.x. A tweak called forcy which enables 3D touch to your device.

Although it's not apples-to-apples--the Note 3 was tested using our old standard of 40 percent brightness, rather than 150 nits--its 3,200 mAh battery lasted nearly as long as the iPhone 6 Plus, at 9 hours and 57 minutes.