I've scanned the book three times now and can't find this answer. It's entirely possible I might just be missing it.

Is it possible to fire beyond the listed Range for a weapon? If yes, what is the penalty?

The description of "Range" under weapon qualities tells me to read the Range Bands rules on page 208/9. The Range Band rules don't have any rules about weapon ranges.

There is some implication that there is a penalty, but I'm not seeing anything concrete.

If I were to make a call, I'd say it would be "add one Difficulty Die per move action it would take to get to the weapon's listed range". So a Medium range weapon firing at Extreme range would be +4 difficulty dice (the worst example I could think of).

Players will be players, so they will always want to take a shot beyond the listed range of a weapon if the situation calls for it, so I am not inclined to say "you just can't do that".

Nope, the listed range is the maximum range you can attack an enemy at.

So if you're using a blaster pistol and your target is at Long Range, then you can't shoot at him.

Now, there is a talent whose name escapes me that let you extend your weapon's range, but they have a trade-off in that the shot becomes harder still. But that's the primary exception.

Nope, the listed range is the maximum range you can attack an enemy at.

So if you're using a blaster pistol and your target is at Long Range, then you can't shoot at him.

Now, there is a talent whose name escapes me that let you extend your weapon's range, but they have a trade-off in that the shot becomes harder still. But that's the primary exception.

You're thinking of Sniper Shot, Dono. It allows you to increase the band range for a higher degree of difficulty.

Yancy