Can emotional IQ be learned?
I don't know anything about those with lower than average.. BUT
Emotional Intelligence can be learned.

Read on:
http://www.lifehack.org/articles/communication/7-practical-ways-improve-your-emotional-intelligence.html

http://www.wikihow.com/Develop-Emotional-Intelligence

This will not be a process of a few hour, nor a few days.. It will take you a few weeks or months to grasp and, maybe, a few years to have something robust.
You have only positive "things" to gain if you go this route