No because you get it fallout nv from somebody who last owned it and fallout 4 you get it off a corpse
Fallout 4's pipboy is of a different design than of FO3 and FNV

Notice the 3 large buttons on the bottom, and the dial to the left of the screen. That was changed here:

The buttons have been done away with except for the power button, as well as a dial to control what the screen is on. Oh, and not shown here but in the video of him picking it up, there's a latch, so presumably he can take it on and off.
In FNV I don't know how Doc Mitchell got it off tho so I'm stumped there