I cannot see why not if you have some connection that brings Internet to your ST16S.
I guess a USB cable will be the simplest, cheapest way to do it. You can just keep your phone in a pocket where it usually is and run a USB cable from it to your St16S. It cannot be as simple as that.
Plus since there is no extra radio communication added to your ST16s which will be a case with Internet over bluetooth or connecting a 3G/4G dongle to your St16S it won't add any extra interference to your st16s remote<->drone communication.