>Wouldn’t there be a measurable current of sorts in our path of movement?

"Current" feels like the wrong word here. In the sense of a river, "current" feels like the drag you would experience from molecules of water moving past you. You aren't gravitationally bound or dragged by the water, it's simply the inertia of heavy water molecules pushing against things as it moves downhill.

​

>Or is there a way to counter the trajectory of our galaxy traveling through the universe/ solar system traveling through galaxy ~roughly 490,000 mph/ earth traveling around sun ~roughly 67,000….

Absolutely. How do you stop a car from driving down the road? You apply a force that counteracts the force causing it to move forward (you apply the brakes). In space you do this by ejecting mass in an opposing direction. If you've ever seen Wall-E and remember that little robot buddy using a fire extinguisher to move and spin (space dancing scene) then you know what I'm talking about.

The fire extinguisher has mass and that mass is being ejected, which causes the body to move in an opposing direction. So if we wanted to slow earth down, we would just keep pushing things off of Earth, away from it's current trajectory. Unfortunately as we slow down, our orbit would also begin to decay, causing us to get closer to the sun.

So lets try to slow sun down, we just need to uhh, eject mass from the sun, thats all. Yeah that seems a bit trickier.

So technically possible, but not really within our current technological capabilities.