The concept of time travel is highly speculative and still largely a subject of scientific and philosophical debate. However, if we assume that time travel were real and followed a particular set of rules, it could potentially allow for interactions with past or future versions of oneself. Different theories propose various frameworks for time travel, and the specific rules of time travel in each theory would determine the extent of such interactions.
One common model is the Novikov self-consistency principle, which suggests that any action taken by a time traveler in the past would be predetermined and would ultimately contribute to the events that lead to the time traveler's present. In this framework, a time traveler could interact with their past self, but any actions they take would have already occurred and would be part of the consistent timeline.
On the other hand, other theories suggest the possibility of branching timelines or parallel universes, where interacting with one's past or future self would create separate realities or alternate versions of oneself. In these models, the time traveler could meet or interact with versions of themselves from different timelines but would not directly affect their own personal history.
It's important to note that the topic of time travel is purely speculative at this point, and there is no scientific consensus on its feasibility or the rules that would govern it. Therefore, discussions about interacting with past or future selves remain largely within the realm of imagination and theoretical physics.