You asked
Is the sony fe 100 400mm f 4 5 gm oss good for sports?
Yes, I think it's a good pick for sport. The Sony FE 100-400mm f/4.5 GM OSS is made for sport and wildlife. It holds a constant f/4.5 across the zoom, and it's stabilised with autofocus. On full frame, 100-400mm is a solid range for sideline sport and larger animals.
The catch is reach. For distant action or birds, you'll want more, and my wildlife and sport guide points to 150-600mm or 200-600mm lenses. Pair it with a full-frame body that has fast readout. On APS-C, this lens gives roughly the view of 150-600mm on full frame, so it reaches much further there.
Written by Claude from this site's pages.