you probably could but at low settings and not great FPS, try running it in win7 compatibility mode to force 720p res for better frame rate if necessary, disable shadows and the taxing stuff. there's some settings in the ini file that you can tweak too, google will tell u more.
Yeah, I suppose it is possible to run the games with low settings at 1280x720 or 1366x768 resolution. I recommend that you edit the FalloutPref.ini that would be located in the Documents/Fallout 4 folder (same place where your saved game files are located) to disable all shadows for better performance. Searching for "Shadows" and settings all values to 0 (zero) should do the trick. Make a copy of the that ini file before editing.