No, gravitational time dilation and velocity time dilation are caused by different effects, and they are not directly related to acceleration.
Gravitational time dilation is the effect observed when time passes at different rates in regions with different gravitational potentials. It arises from the curvature of spacetime caused by mass and energy. In regions with stronger gravitational fields, such as near massive objects like stars or black holes, time runs slower compared to regions with weaker gravitational fields. This effect is independent of any acceleration experienced by an object or observer.
Velocity time dilation, also known as time dilation due to relative velocity, is a consequence of Einstein's theory of special relativity. According to this theory, when two observers are in relative motion to each other at high speeds, they will measure different elapsed times for events. The moving observer's time appears to be dilated or slowed down relative to the stationary observer's time. This effect occurs even in the absence of any gravitational fields.
Neither gravitational time dilation nor velocity time dilation requires acceleration to occur. They are fundamental consequences of the geometry of spacetime and the principles of relativity. While acceleration can certainly play a role in certain situations, such as in the context of general relativity and the gravitational time dilation near massive objects, it is not the underlying cause of either effect.