Not exactly. We perceive time as a constant. Time dilation is only understood in relative comparisons.

For example, you leave and experience one day passing. Did you experience time dilation? You don't know. When you return, you could find that one day passed for everyone else or you could find that one week passed for everyone else.

This can be simulated and doesn't require VR at all. In fact its a common trope is movies, tv, video games, etc. A person leaves and comes back to everyone aged differently - by years or centuries.