Can I run Modern Warfare on GeForce GTX 1070?

I'm running a GTX 1070 currently and it runs the game just fine, depends on if you want higher frames or better graphics though. I can run the gameat 60fps on normalsettings with minimal frame drops, any higher than that and it can get a bit choppy.

Of course, what you have to be worried about is your RAM, you need at least 16GB

Yes, of course, afterwards, you shouldn't push all the graphics to the bottom, otherwise your power supply and your processor will overheat.

yes. the minimum specs are below that. i run it on gtx 1050 ti

1070 is more than enough. Looking at some footage on youtube, it runs at around 70FPS on large maps.

there is a site called canyourun it, you can check there,

It depends i think you laptop is using the 1070m (mobile version of 1070 desktop) at 1080 ultra with motion blur off and atialisaing 2x you can get between 80 90 Fps at mid high mix you will get 85 or some thing

Yes u can,i'm using 1070,I can set high and still have 90-120fps

I run it on a 1060 without any problems at all on the highest settings, I get constant 60 with it so you should be fine