No, time dilation and wave function collapse are distinct concepts in physics and are not directly related.
Time dilation is a phenomenon predicted by Einstein's theory of relativity, both special relativity and general relativity. It states that time can appear to pass at different rates for observers in relative motion or in the presence of strong gravitational fields. Essentially, time dilation implies that the passage of time is not absolute but is affected by factors such as velocity and gravity. This effect has been experimentally confirmed in various ways, such as with high-precision atomic clocks or through observations of the behavior of particles moving at relativistic speeds.
On the other hand, wave function collapse is a concept in quantum mechanics that relates to the behavior of particles described by wave functions. According to the Copenhagen interpretation of quantum mechanics, when a measurement is made on a quantum system, the wave function describing that system "collapses" into one of the possible measurement outcomes. This collapse is a probabilistic process, with the probabilities determined by the squared magnitudes of the wave function amplitudes. Wave function collapse is often associated with the idea of the observer's role in determining the outcome of a measurement.
While both time dilation and wave function collapse involve probabilistic aspects, they belong to different domains of physics. Time dilation is part of the theory of relativity, which deals with the behavior of objects in spacetime, whereas wave function collapse is a fundamental concept in quantum mechanics, which describes the behavior of particles at the microscopic level.