Yes there is, you copy a human brain to a machine, you send a probe use laser propolsion. The probes sets up a recieving station and you send the human as data.

No laws of physics broken and you get fractional light speeds out of the probes and full light speed out of the humans beamed as data.

The reason you think physics need to be broken is because your brain is stuck thinking we need to send humans in space ships, which might be impossible due to the onboard energy and mass you'd need to bring or the immense time it would take.

If you use tiny probes you get to 1/10 or 1/4 the speed of light and actually hop between stars with your probes fairly easily and without risking lives/you can always backup any living humans to a machine but the accelerating large amounts of mass is too much of a problem.

So you solve that problem by not doing it, you approach everything with an ultra low mass solution because that's part of the fundamental limit of physics.. mass doesn't like to accelerate. Space time doesn't want mass to accelerate easily, so stop thinking of that as you main way of doing things and it becomes a lot more possible.

You have to get brain to machine transfer tech to make it work, but that tech is going to be super useful for a lot more than just space travel and it doesn't break any laws of physics to make a copy of a human brain and beam it as electromagnetic waves without all those pesky mass limits.

It's not the easiest thing to do, but at least you don't have to bend physics or invent impossibly high density portable energy sources.