Can two particles be electrically attracted, even when both particles have zero net charges? Can two particles be electrically attracted, even when both particles have zero net charges? Is that possible in some circumstances?
 A: If two bodies each have zero net charge, attraction is only possible based on uneven distribution of the charges within the bodies.
If we think about dipoles (as suggested in @lesnik's comment), let's say A has two charges A+ and A-, and B has B+ and B-. Then we have 4 attracting/repelling forces:

*

*A+ repels B+

*A+ attracts B-

*A- attracts B+

*A- repels B+

The forces depend on the charges involved and the distance (1/d²). So, if we talk about "zero-size" particles, all forces will be equal, just with different signs, thus compensating one another.
But if the dipoles are e.g. arranged in a line, equidistantly A-, A+, B-, B+, then we get

*

*A+ repels B+ with -0.25 F (with F being the A+/B- force at unit distance)

*A+ attracts B- with +1.0 F

*A- attracts B+ with +0.11111 F

*A- repels B+ with -0.25 F

We still have alternating positive and negative forces, but their sum now is positive (+0.51111 F).
The magnitude of the effect depends on

*

*the amount of charge,

*the object distance in relation to the charges displacement inside the bodies.

