Yes, if you have a lot of gas it tends to make your shit more runny. It can take up space in the colon leaving your food up in the end of the small intestine, or at the very least reducing the time it spends in your colon as it comes through. The small intestine is mostly about mixing up your food and extracting nutrients, whereas the main job your colon has is recovering water from it, so that you don't have to drink so much. But if the colon is full of gas and the faces just rushes through when you open up and fart into the bowl, it won't have much chance to dry up.
Something's producing that gas though, and if that's not normal for you, I'd agree with phoning the doctor.