Question

why does window glass jiggle during thunderstorm

Answer 1

Yes, because of the sound. When we hear sounds, we are hearing vibrations of air pressure. That's what sound is -- a change in pressure and the displacement of a medium (like air or water). This is why there is no sound in the vacuum of space; no air, no medium for the sound waves to displace.
Ever place your hand in front of a big subwoofer while it's playing at a loud volume? You can actually feel the air being pushed by the speaker. You can see the speaker cone moving in and out. It's pushing air. You are actually "feeling sound" if that makes sense.
The same thing happens with thunder. Thunder is caused by lightning. Lightning creates a sudden increase in air pressure and temperature causing air to expand rapidly. This rapid expansion of air creates a "shock wave" of sound which results in the "boom" or "crack" we hear and shakes the windows and the house. It's also why lightning always comes before thunder.