Time in space?

Lets label your assumptions i) Time = Space, ii) I travel through time into space. Then by symmetry of equality we can deduce from i): Space = Time, which answers your question.

In physics, spacetime is any mathematical model that combines space and time into a single construct called the space-time continuum. Spacetime is usually interpreted with space being...

because space is a vacuum that never moves or changes with weather, season, etc.

An interesting question. For my money, there is no time in space. Time is a human construct devised as a way to regulate our environment, and based on the astronomical accident of the rotation speed...

From the theme song of a really old television show.