At consumer level, the answer is usually, no. Though the two terms are used virtually interchangeably, it is hard for a full HD display to match 4K resolution, which is also termed as 4K2K.
Technically, 4K involves 4096 x 2160-pixel resolution and an aspect ratio of 1.85:1. With fewer pixels, even a UHD or Ultra-high Definition display cannot match with 4K, leave alone a full HD display.