there are a zillion variables.
* Is the amp capable of more power than the sub's rated RMS?
Cranking the gains above whatever voltage produces the 400watts your sub is rated for with an amp that's rated for 350watts isn't a good scenario. Conversely, if you have 600wrms at your disposal, you're good to run an extra volt or two into your 400wrms rated sub.
* Are we already pushing it with a low input voltage?
If the amp's only finding a few millivolts input, it'll already be gained pretty high to achieve the desired output. That extra little bit may be enough to clip, especially if you're dealing with an input signal from the type of unit that's only capable of a few drops of preamp voltage.
* How's the source material?
That compressed amatuer rap remix MP3 in conjunction with your extra few output volts could be a disasterous combination. On the other hand, if you're playing the SQ CD, or any material that's mastered correctly (and the above possibilities are in the safe zone,) you'll be just fine.
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It's not a yes or no question, but I threw yes out there because audio dynamics are just as much an art as a science.
You won't blow anything up unless you're irresponsible about it.
Impedance rise isn't a constant, it varies with driver, enclosure, power, temperature, frequency, and any physical resistance / energy.
I wouldn't count on it to save your *** unless you've done the research and know for a fact that the x Hz burp you're playing yeilds y ohms of resistance.