According to our current understanding of physics, it is not possible for an object with mass to travel at the speed of light. As an object with mass approaches the speed of light, its energy and momentum increase dramatically, and it would require an infinite amount of energy to accelerate it to the speed of light.
However, even if it were somehow possible to achieve light speed travel, time dilation would still occur. Time dilation is a fundamental consequence of Einstein's theory of relativity, which states that time can be experienced differently for objects in relative motion. As an object approaches the speed of light, time for that object slows down relative to a stationary observer. This means that even if an object could travel at the speed of light, time would still pass differently for that object compared to an observer at rest.
It's important to note that our current understanding of physics is based on the theories of special and general relativity, and they have been extensively tested and confirmed through experiments and observations. While it's always possible that future scientific discoveries may revise or expand our understanding, for now, it appears that light speed travel without time dilation is not possible within the framework of our current knowledge.