No.

The clue's in the name. If something is 'tempered' it is made stronger and more resistant to injury by induced stresses from heating and quenching. When broken will not create sharp shards but small, regular chunks. A steel blade could be very brittle unless tempered, at which point it becomes an effective knife for the most recalcitrant carrot.

A car's windows: tempered glass. Your oven door: tempered glass. 'phone booth windows: tempered glass.

I'm writing this on a table I made from a metal frame and tempered glass I found in a skip. It hadn't broken. It deals with pressure well. The only thing to be aware of is hard, sharp, point impact, like all glass. If you bang on a house window to get someone's attention (very rarely tempered glass and so far more brittle) are you afraid it will break? I should hope not, unless you don't know your own strength! Tempered glass is far stronger through its flexibility.

The flexibility is such that when a car corners and the chassis flexes, the windows don't break. Nor when your head bashes against them when asleep in the back seat. If smashed with a high-speed stone, there can be a crack created.

Putting the case in the car or going to LAN parties would cause no problem at all, provided you don't drop the case. I imagine you'd put it on a dust sheet, or the seat rather than a hard floor, as with any case you didn't want to scratch, glass or no. I am writing this on an INWIN 901, and while the glass is obviously more fragile than the metal, I wouldn't fret about it at all. As our Scottish brethren might say, "dinnae fash yersel".

If it really worries you, you could buy the tempered glass and also buy some plexiglass which you could cut and drill holes for mounting and such.

yes, yes, and yes. of course it really depends how smart and careful you are, but yes.

It should be strong enough to survive transportation provided you pack it correctly and handle it with care.

But it's much heavier than acrylic, which can make moving it a little more difficult.