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Well, I'm going to give the party-pooper response, even though science fiction and pop-science love to fantasize differently:
The past and the future are theoretical concepts. They don't actually exist in the sense that you can 'send' something to them.
Obviously, you can write data to a hard drive and then read it out after a week has passed, but presumably that is not what you had in mind.
But that's also the essence of the time travel that the theory of general relativity allows. You can travel forwards more slowly along the time axis by travelling more quickly on the space axis (close to the speed of light), which means you might just need to spend 5 perceived years to end up in the year 2200.
Similarly, you could take a hard drive onto this journey and it wouldn't have fallen apart in that time.
Travelling back in time makes no sense in general relativity. You would need to reverse causality for that, which is on an entirely different level from merely slowing causality down.
General relativity would mathematically allow for the existence of wormholes, but that's pushing the theory to extremes where it might simply not be applicable to reality anymore. We certainly have no actual evidence for wormholes.
Even wormholes break causality. Doesn't matter the method, folding space, black holes, if you can arrive at a destination faster that light thru normal space can get there, you can know of things before they occurred.
Hmm, but why do you think these things haven't occurred yet?
As far as I can tell, the speed of causality means things can have occurred in a certain location in the universe, but it takes time until the effects have permeated into the rest of the universe.
So, it's like a shockwave from an explosion. The explosion happens, but it takes a few seconds until you feel the shockwave.
Well, with the difference that you can see an explosion before the shockwave. When we're at the speed of causality, literally no evidence will have arrived in your position until it does.
So, one could go meta-philosophical with basically "If a tree falls in a forest and no one has heard it yet, did it actually already happen?", but yeah, I don't think that's terribly useful here.
And well, if we treat it like a shockwave, let's say you detonate some TNT and step through a wormhole to somewhere 20 km away. You would know that the shockwave will arrive soon, but does that matter? The shockwave will still just continue pushing on.
And I guess, crucially, it did already happen, so you can't do the usual time travel paradox of preventing that it would happen.