Can every instrument be amplified? Have they?

I assume you can make an electric banjo and ukelele.
Can you make an electric lute, lyre, kazoo, ocarina, triangle, kettle drum?

And which of these and others have already been made?

I guess that if you want to amplify them, you only need a microphone and an amplifier.

They would all need metal strings.

Posted too soon. Thought you were referring to pickups on an electric guitar.

Yes, any virtually any sound can be amplified.

A “direct” pickup on a string instrument (almost always a guitar)converts the string vibration directly to a modulated electrical signal. You could do the same with say, a ukulele or a cello, but their uniqueness is a function not only of their strings’ frequencies, but of the acoustical amplification characteristics of their bodies, which a direct pickup does NOT pick up. Similarly you could build a direct pickup diaphragm(sp?) into a flute or kazoo, but the pickup will miss some of the “character” of the sound. That’s why most acoustical instruments have not been redesigned with “direct” amplification.

Every amplifier will cause the sound to be distorted someway or other. This is due to the frequency response of system. Simply put, if an amplifying system multiplies say a high pitch sound by 10 times, it would multiply a low pitch sound by some other factor. Usually it is an compromise.

No amplifier system (that means the microphone, the connections, the wires, the filters, the amplifier, the speakers, etc.) exists which multiplies all frequencies by the same amount.

Can you imagine amplified bagpipes?

The late, great, Eddie Harris was the first to amplify the saxophone. His album The Electricying Eddie Harris includes the classic Listen Here.

Don’t have to. I’ve heard them. Yes, bagpipes, too