2 hours ago, SEApocalypse said:

Nah. "During Combat Phase always shoot first."

PS12 has a few cases when it could be changed, this one can't be overridden or beaten by init.

2 hours ago, JJ48 said:

Does initiative matter in the event of both players flying Han, or do they both fire first?

1 hour ago, SEApocalypse said:

They do both fire first. Just roll the red dice!

Han Solo:

If you are declared the target of an attack, you may immediately make a primary weapon attack against that ship. It the enemy ship is destroyed, it does not attack. You may do this once per turn, and if you do, you may not attack again this turn.

You must tell you opponent, "Sorry about the mess."