No it’s not. Not in pure form anyway, in Premiere Pro a small 4k clip (4 seconds) was over 500MB in size. Not ideal given compressed video of this clip was just 6.63MB.
I tried exporting the gif at 100 quality and 70 it made no difference the file size was simply too huge.
Phone resolution 640 x 480p (ideal gif size): 12.8MB
Whilst using webm format, it’s not technically a gif but it is at 4k resolution and maintains small size. Using Gfycat for your 4k gifs would an a decent method.
Video rules gifs in most situations, well to better put it gifs are meant to be small and fast loaders. Gifs dont used for detail.