Wouldnt foton travel same distance with different time in space indicate speed of light varies in Universe?

The short answer is no.

The long answer is that both distance and time change, but only in such a way as to make the speed of a photon always come out to be 186,000 miles a second. If a second gets longer then a mile gets shorter by the same proportion to make distance/time always come out to be 186,000 miles/second. Weird, but that is what relativity says.

I assume you're talking about photons, and, well, no, it really doesnt' change the speed of light, at least for scientific purposes. Things are always measured with known constants to come up with a consistent reading. The speed of sound can be affected by differing atmospheric conditions, but we don't say the speed of sound is different, it's just being affected by outside forces. The speed of photons can be affected by black holes, but that doesn't change what we consider the "speed of light". If a bicycle rolls down a 30 degree grade faster than it would a 20 degreee grade, we wouldn't say the laws of gravity are changed.

space and time are woven together they cannot be seperated so when you change the parameter of one you also change the parameters of the other so that the speed of light always remains constant while traveling through spacetime. the only time the speed of light varies is when it travels through a medium such as water or air....