Requirements:
You will need a machine that can operate across vast distances without being affected by the speed of light, and will need to increase its acceleration away from that point in space in order to maintain that time period while it operates. If you wish to travel to the future the machine will need to approach the point in space instead.



The machine will be a simple teleporter that assembles atoms at the end point to perfectly match you. This will mean that there are two versions of you but unless the teleporter is able to transport atoms rather than just signals outside the limits of the speed of light then you could just teleport yourself, but lets assume that the machine can only put things together elsewhere in space.

The machine would need to be billions of lightyears from earth to work, because while the assembly process requires it to work distantly and instantly, the process needs the physical machine to move. If the machine moves away from earth, from outside the restrictions of spacetime what would really be happening is that the earth would, from the machines perspective, be in the past. This is caused by numerous factors, such as how approaching near light speed affects both distances, compressing them, as well as what order that events occur in, as well as how fast events are occurring.

If you get the machine moving at the right speeds away from earth and at the right distances you could go back a substantial distance in time. You would need to make a copy of the machine in the past if it were unable to make a copy of you from the past and re-create it in the present.

However you would need to make absolutely certain that the machine is accounting for speeds on earth at the same time, because if anything is also moving towards you at that distance it would also be in sync, ranging from a boy walking towards you during the 31 century, or a horse carriage moving away from you in 41 BC. The only reason time makes sense to us is because we are limited by the speed of light, so a machine would need to account for every possible anomaly it might face. Those examples won't really be too relevant though because the earth, the sun, and the galaxy also move through space so temporal overlap would be a lot less difficult than it could be.