The speed of light is a constant bound by the universe, Photons only adhere to this maximum.
I prefer to think of it using an analogy that is close to the truth, space and time are finite and measurable, if we are to live in a 4 dimensional space-time where all 4 dimensions are facets of the same thing, then there must be a number, a figure or a concept to convert units from one dimension to another, where we deal with the 3 of space its a 1:1 conversion, 1 cm is 1 cm in any direction, although how does this relate to time, which is conceptually distinct, the answer lies in that number c .
Its a mental idea but maybe holds a smidgen of fact somewhere, we just dont know tbh...
But no, if you could travel faster than the speed of light you would not run into yourself, because you are not travelling back in time any faster than you were when you started speeding away at c+some speed. So you would just be a self contained anomoly
