Okay... no.

This is the problem. The 4th dimension is not time. We can represent time as the 4th dimension in a system if we want to, but you can have systems where the 4th dimension is not time.

A good example is when people create a matrix representing links in webpages. If you limit your universe to online 100 webpages and their interconnections, you can get a vector for each webpage. The vector is a point in 100 dimension space. The 4th dimension is not "time" but "if the 4th website on the list links to me."