No. It won't. And that is a scientific fact.
I know you might have been hearing stories. Truth remains, there is no correlation between radio waves and a gas cylinder that can cause it to trigger and explosion.
The only problem using phone for activities like chatting, reading or answering calls is that it causes distractions.
Some people believes that using your phone while cooking gas is on can cause explosion. But how? Like how will it happen? What reaction is there between gas cylinder and cell phone?
The fact is, because of the high radiation from cell phone, you're are supposed to switch off your phone while using using your cooking gas. Although, there have been no scientific evidence to what causes the explosion, if is it the radiation from the phone or what exactly?
But try comparing it to this scenario. That thing that could possibly happen at the filling station when making a call or around high duty industrial plants is what will happen if you are using your cell phone while cooking with gas.
The same thing happens when using phone while it's raining with thunder and lightning, or using phone directly under high tension cable, etc
I don't know the detail chemistry or physics behind that, but I'm sure it has something to do with radio active wave. Just Google it.