If you could spin a hand spinner at the speed of light could it affect Space Time?

1.

how are you defining speed here? speed of extremities? The natural concept associated with rotation is angular velocity, but that can't be compared to the speed of light as the dimensions are different

2.

how are you getting it moving that fast? If you look into relativistic kinetic energy, it approaches infinity as speed asymptotically approaches the speed of light.

3.

Might also be worth asking yourself what the G-force actually is. The term G-force itself doesn't refer to a force, just a metric to measure forces (really more accelerations). I think you're referring more to the centripetal force which is required to keep the spinner spinning - which is the force that has to be provided by the support (string or something) to keep it spinning. First, how are you getting this thing to be structurally stable? The force required would be on the order of 10^17 N for a standard sized wheel, which far exceeds the properties of any material I know (by too many orders of magnitude).

4.

What mechanism are you suggesting for time travel?

5.

There is some gravitational effect of something spinning really fast, but that's super advanced and I wouldn't have a clue about that, but it seems to be so small that it would hardly do anything interesting.
Finally, just a word of caution: General relativity is very, very mathematically involved. Special relativity is way easier and that itself requires a decent amount of maths, arguably beyond AL FM, and making these sorts of claims on the basis of qualitative, wishy-washy descriptions of relativity, as are common in popular science, is a dangerous game. Your use of terminology probably exhibits this.