Can Variable-Speed-of-Light theories be reconciled with Special Relativity's teaching that light's speed is constant?

The answer to the title's question relies on Einstein's other (General) theory of Relativity as well as the block universe, which is the only view that is consistent with Special Relativity. The block universe says the past, present and future all exist — and are equally real — in a four-dimensional block where the passing of time is an illusion. Here, the word "illusion" is regarded as inaccurate and the passage of time is compared to the playing of a DVD. Time is permanently associated with space in physics, so space-time is analogous to DVDs which provide a way to contemplate time travel into both future and past - as well as a way to instantly journey from any location in the cosmos to any other, regardless of distance (entanglement extends beyond the quantum world). Similar to space-time being like a DVD, consciousness and Artificial Intelligence are compared to the laser which reads the information making up the DVD's sights and sounds.