Consider a computer with a cpu and gpu. The CPU is a general purpose computer. It can do literally anything. Including software rendering. But the GPU is purpose designed for graphics so it will be much more efficient at the job. These days the GPU is also a general purpose computer so it could in theory do anythign the CPU does too, but for many things again it will be less efficient.
It's the same with emotional intelligence. The brain has dedicated circuitry for understanding other people. You can reason it through abstractly but it will be less efficient. You can also solve problems about natural science with the emotional reasoning part of the brain. Ever heard the expression "the atom wants a full shell of electrons"? That's empathy.
No, it is more like software. You either grow up around others, socialise and train your intuition or you don't. To believe there is special circuitry really goes deep into the pseudoscience territory.
Emotions are just another abstract concept.