Yes. There are scalar constantly throughout all of space
For scalar fields, you have gravitational potential, the electric charge density, and a few quantum mechanical fields describing each point in space. This can be zero, but these forces have infinite range so any mass or charge would change the field of the entire universe.
You also have vector fields, where instead of a number for each point in space, you have a vector pointing somewhere with a magnitude. This could be the magnetic flux or gravitational force.
[If you find the gradient of a scalar field, you get a vector field, so this is how the gravitational potential is a scalar field, but gravitational force is a vector field]
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