Yes, but emotional intelligence is basically IQ + Agreeableness. As a concept in psychology it appears to be getting phased out.
https://doi.org/10.1016/j.paid.2003.11.014Training can work, but how initially effective & how sticky that training will be will relate strongly to underlying personality factors. There is also the concern that empathy training will be overweighted (esp. when delivered by a progressive org). This is a trap because high empathy is associated with increased depression and anxiety