No, time would not pass in an instant if one were absolutely stationary at a stationary point in the universe. The perception of time passing is relative and depends on the observer's frame of reference and relative motion. According to Einstein's theory of relativity, time dilation occurs when an object moves relative to another object.
When an object is in motion, relative to a stationary observer, time appears to slow down for the moving object. This effect is known as time dilation. Conversely, from the perspective of the moving object, time appears to pass normally, while the stationary observer's time seems to slow down. This phenomenon is a consequence of the fundamental nature of space and time, as described by relativity.
However, if an observer is stationary and not in motion relative to their environment, time would progress at its normal rate according to their frame of reference. The concept of time dilation would not apply in this scenario because there is no relative motion involved.
It's important to note that the perceived passage of time can be influenced by various factors, such as gravitational fields and relative velocities. But for an observer at rest in a stationary position, time would pass at a regular pace, not instantaneously.