No, time dilation does not create the curvature of spacetime around masses. The curvature of spacetime around masses is a consequence of the presence of mass and energy according to Einstein's theory of general relativity.
In general relativity, mass and energy cause spacetime to curve, and objects move along curved paths in this curved spacetime. This curvature is what we perceive as the force of gravity. Massive objects like stars and planets create a curvature in the surrounding spacetime, and other objects move along paths determined by this curvature.
Time dilation, on the other hand, is a phenomenon that occurs due to differences in gravitational potential or relative motion between observers. It is a consequence of the curvature of spacetime, but it does not create the curvature itself.
In summary, the curvature of spacetime around masses is caused by mass and energy, as described by general relativity. Time dilation is a separate phenomenon that arises due to the effects of the curvature of spacetime and relative motion.