According to Newtonian gravity, gravitational force is -GMm/r^2. Any mass experiences a gravitational force toward every other mass in the universe, proportional to the product of their masses, and inversely proportional to the square of their distance. This means my body experiences a certain gravitational force from the sun, no matter what else is happening in the universe. That says it would be impossible to shield me from the sun's gravity.
To find the net gravitational force on me, simply do a vector sum of all the gravitational forces on me from all other masses in the universe. Simple to say, not so simple to do.
That sum is zero at the center of mass of the universe, wherever that is. Unless the expansion of the universe is perfectly uniform, that point will shift with time. I could find other points where the sum is zero. I move away from that center of mass but toward a large nearby mass, just close enough that the pull of that nearby mass exactly balances the pull of the rest of the universe. These will be single points, not regions. At these points, I still can't say there's no gravitational force acting on me. But I can say there are countless gravitational forces acting on me, but their sum is zero.
Let's say I tell you I found such a zero-sum spot, about 1/3 of the way between our sun and Alpha Centauri, and I take you there. How will you know I am telling you the truth? The principle of equivalence says that there's no test you could make to tell whether the net gravitational force there is zero, or whether you are just accelerating according to the effect of the nonzero net force on your mass.
The relativistic warping of spacetime in the presence of gravitational mass is more a way of representing or measuring that force, rather than explaining it. Neither Newton nor Einstein could tell us why gravity exists or how it works. If spacetime is not warped in your region, it doesn't mean the gravitational field is zero, it means it is uniform. And again, how would you tell whether spacetime is warped in your region?
I've tried for decades to think of a gravity shield or a gravity insulator. If I do find one, watch for my Nobel Prize in physics, and for me to quickly surpass Bill Gates on the wealth scale.