Final answer:
You can't physically travel at the speed of light, but theoretically traveling at relativistic speeds or being in a strong gravitational field could allow you to age slower and thus 'travel' into the future, according to special and general relativity.
Step-by-step explanation:
The question you're asking ventures into the realm of theoretical physics, specifically related to special and general relativity. In theory, if you were to travel at the speed of light, you would not age because time would effectively stop for you, but this is physically impossible for objects with mass. Traveling at a speed faster than the speed of light could, in theory, allow you to move forward in time relative to others who are not moving at such speeds, but current physics also deems this impossible. The notion of time travel into the future is more plausible under general relativity if you are in a strong gravitational field, which can slow time down relative to areas with weaker gravity. Nonetheless, these concepts are theoretical and not practically achievable with our current understanding of physics. To answer your question regarding if you could travel into the future without aging significantly, yes, it could be theoretically possible through traveling at relativistic speeds or being in a strong gravitational field, but not into the past.