There is no traveling.
If you were to travel through 100 light years of space in 4 minutes
You're at two events events (leaving one place and appearing at another) separated by what in relativity is called a space-like interval - and by definition there are observers that 'see' them happen at the same time, others that 'see' one happen first, and others that 'see' the other happen first. This isn't a problem because (as far as we can tell) those events can't affect each other.
My best guess as to what you're trying to say is that because you don't end up in your own past light-cone (i.e. the events don't have an inverted time-like separation) there are no paradoxes, no violations of causality, etc. Which is true if this kind of trav