I am wondering if things can be objective but not universal.
What do you mean by "things"?
Is a coffee mug objective? How about universal?
As far as we know and can tell (through astrophysics) Newtonian physics work well enough within certain bounds. We know Newtonian physics doesn't work well at all for objects traveling close to the speed of light. We know also that even at reduced velocities there are relativity effects on "Newtonian" interactions, they are just too small in magnitude to make a practical difference.
Separate names with a comma.