Hello
Can I make an ios game using c# script ?
What do I need to test my script to make sure the touch code is work or not ?
Do I need to download unity remote from app store in iPhone ?
Do I need an xcode , Mac or I can do it in windows and c# script ?
Is there tutorials or videos about developing ios game using c# script ?
Thank you 
Can I make an ios game using c# script ?
Yes, as well as unityscript and boo.
What do I need to test my script to make sure the touch code is work or not ?
You can initially test in Unity, then you can test in the simulators that come with xcode, then you can test with unity remote, afterwards you need to test on the devices as much as possible to ensure FPS and optimization is nice and tight.
Do I need to download unity remote from app store in iPhone ?
It isn't available in the app store, you will need to get it from the unity asset store and deploy it on the device.
Do I need an xcode , Mac or I can do it in windows and c# script ?
You can initially create it in windows if you want, to build and test you you need a mac with osx and xcode.
Is there tutorials or videos about developing ios game using c# script ?
Yes, all over the place, on Youtube, etc, etc