There isnt't any car here OR There aren't any cars here
Is there any car here? OR Are there any cars here ?
There isnt't any car here OR There aren't any cars here
Is there any car here? OR Are there any cars here ?
Any of these is acceptable.
You might (or might not) choose among them under different circumstances. Possibly you would base this on whether you expected one car or many cars.
Each option means the same as its partner.
However, its usual to match the variant to the question answered, or expectation of the audience.
e.g.
"Go and wait by the car" : "There isn't a car here".
"Go and wait by the red car" : "There are no cars here". "Count the number of red cars" : "There are no cars here".
Also, in the singular case, it would be more usual to say 'a' rather than 'any', or "There is no care here" in the negative case.