are there any apps that the watch can run without the iphone ? Ones you can download from the apple store? I bet you if not will be on the next one maybe
No - if the iPhone and Watch are not close enough to pair via bluetooth, they will pair on a "known" Wifi network - like your home or office. Most public networks (like Starbucks) are not supposed to work, but I have not tried it.
Some of the built in apps (Music - if you have some music synced to the Watch; Photos - again if you have some photos synced to the Watch, tell time, the Workout App/Activity Circles will work, watch face to tell time) will work without the iPhone paired. I think there are a few other things that the Watch can do when it is not actually paired to your iPhone.
But most apps - especially the 3rd party ones - are nothing more than extensions of the iPhone app and need access to the iPhone and it's apps to actually work/update.