Can a power amp have too much power, risking damage to a speaker?

Thanks all for contributing to my education.
I play guitar and 5-string bass and have one Fender Pro tube amp with twin 10" speakers and a Fender SS Bassman with four 10" speakers. Guitar amps and speakers differ from high-fidelity amps and speakers. The former are designed to "produce 'music'" -- so as long as they hold together and generate the sound the musician want, all is OK. In contrast, seems to me that "high fidelity" speakers should not contribute any of their own voice to the sound that comes out. I KNOW... achieving that ideal is far more complicated than that. 

I've been playing electric bass for decades and I have a couple of pro bass amps (15s, 12s, mondo pro sub) and one learns that there's obvious limits on how loud you can play before the speakers get annoyed. Is this too basic? Over 6 maybe? Electric Bass teaches an interesting tone exercise.

Yes, but the speakers will hurt you before you can hurt them.

"we often get out an audiometer to ensure the sound-pressure-level is well under 95dBA for sustained periods."

This would be less than ONE WATT fed to your Klipsch speakers. I think you’re good.

A little historical context:

When Bose 901s were first introduced to the audio world, they had a power rating of 270 watts (If memory serves correctly). They were having incidences of catastrophic driver failure. A quick study revealed that little Pioneer receivers (around 10 WPC true RMS power) were the culprit. These little boxes were, essentially, turning into low amperage DC power supplies at sustained clipping for long periods of time (hours). Bose raised the "recommended" minimum amp power rating to 50 WPC. Problem solved.

@waytoomuchstuff  That is exactly right. Too little power is more likely to do damage than too much, but there are some caveats that most audiophiles are aware off. With high powered systems it is stuff like dropping the tonearm on the record with the volume up. Or switching to a higher gain source with the volume up. 

waytoomuchstuff: old enough to be familiar w the Bose901power issues. 

To mijostyn and others who warn about TOO LOUD sound: We use an audiometer to monitor our listening room and most of our listening is below 70dB; if we are watching an action movie with lots of special effects, we find transient peaks of 100dB or more. A few minutes a day of over 95dB is unlikely to  cause permanent damage.

BTW, the new Apple Watches have an App that monitors SPL and seems to deliver readings pretty close to what I get from our more sophisticated audiometer.