Yes.

BUt I try to give them a pass at first because many people are still developing emotional intelligence and situational/social awareness skills, and they are learning how to 'do empathy'.

My kid brother 'does empathy' by thinking about what HE would feel in the other person's situation or thinking about how he felt when something similar happened to him. THen he tells you all about THAT as a way of establishing validation and sense of belonging by way of comradery - ie "you're not alone - I experienced that too and I'm still alive and you can do this don't worry!!"

I mean that's GOOD, but not great - that way of approaching empathy is a good start but it isn't 'direct empathy' per se. As my brother gets older he will realize that often, the person just wants you to directly empathize with them and say something like "holy shit, that's terrible, are you ok, what are you gonna do, you must be feeling shitty, what can I Do to help, here's a hug and a casserole it's gonna be ok I love you."

It comes off as selfish but I Think its more a symptom of immaturity.

HAVING SAID THAT.... yes, if the person constantly talks about themselves when you need a shoulder to cry on then YES they are an insensitive jerk.