There are always possibilities of breaches in the universal laws. Laws, as rules, can have exceptions. (That boson thing, for one) It is possible that by setting very specific conditions (down to geptillionths of whatever measurement unit), one can bypass the universe.
It's a commonly accepted facet of quantum mechanics that, on the Planck scale (verrrryyyy smalll, like, so small atoms are 10^25 times larger), space time is a wild froth with wormholes and other garbage. That's fine. So, yes, at a 1 geptillionth (that's a fun word, normally we're stuck with things like atto) of a metre, time travel could very happily occur. The problem is scaling it up. I'm not saying that time travel is impossible, per se. I'm saying it is impossible for any civilisation due to the difficulty in manufacturing the situation.
For wormholes (which mind you, I consider to be the most reasonable by a long shot of the possible methods), you need a form of exotic matter with, from memory, negative gravitional attraction. That is something that has never been observed. That either means it is impossible, or extremely unstable.
When I say it's unstable, bear in mind we have observed things that decay in 10^-25 seconds, so we are talking a short timescale here.
If it is extremely unstable, that means any wormhole we open will most likely decay near instantly as the stuff we prop it open with decays in a shower of gamma radiation (or neutrinos, or the energy/particle combination of your choice). On top of that, we have to get the matter we generate to coincide with exact time and position of the opening wormhole, which has odds like finding a needle in a haystack larger than the size of the known universe.
On top of
that, we have to ask about the energy requirements required to create that matter. Maybe the reason we haven't seen it so far is because we haven't had the accelerating energy required. If so, how much energy will we need? Look at what is required for the LHC. Bear in mind that's only a fraction of the energies contained by cosmic rays. If travelling backwards in time requires supernovae, how likely is it to be performed to visit a time period of probably not that great importance?
...and so on.
Look, put simply, time travel is, by the admittance of some very great luminaries in the fields of theoretical physics, not explicitly impossible by the laws of physics (though there are also some that believe the universe will actively thwart any attempt to create time machines... I'm honestly not so sure how I feel about that, it sounds a bit too hand wavy, and the maths they try to invoke is waaaaaayyyyyyy beyond my ken). I'm just saying it's very likely to be impossible by the limits on what is actually achievable by any real being.
Tl;dr? I'm trying to say that basically, economics will thwart us all.