Well that wouldn't work very well because usally the crystals are usally pumped with the max amount of IR they can before they die.
So doing that would give it some more IR most likely killing but there is a very still chance that it will work but it's not worth the risk.
Not true at all...
Most models 5-40mW all use the same exact crystals.
It really depends on who it was made by. If it was done by a good company such as CNI or Viasho, you could probably just turn up the current.
The reason being that CNI/Viasho builds lasers per order. If someone orders a 5mW blue, they build a blue (which uses the exact same components as the higher power models) and turn it down to 5mW, or just slightly over, because that is what was ordered. The components can handle much more.
To answer your question, YES (but there is nothing "simple" about it). You can put a stronger pump in and get more power BUT there is a limit. The reson you dont see 100mW+ blue pointers is because of HEAT. They need really really precise cooling to make good power. I have a 250mW 473nm blue laser and if I turn the TECs off, it wont even lase. That's how important temperature is.
So you'll get to a point where the extra pump power is actually hindering your power because of the extra heat created.
Now, this is all assuming you've done this before and you know what you're doing. If you haven't, diode alignment (especially on a blue because the lasing threshold is so high) is a pain in the ass and you will get very frustrated. Unless you've done this several times on a green laser and have gotten good results, chances are you will never get that blue working again.
The one exception here are the viasho lasers (RPL's etc). The reason being is that pump replacement on these is really simple. The entire lasing cavity pops off with four bolts and the pump is exposed. The only problem is that they dont use a variable driver, so even if you pop in a better pump, it wont be getting any more current. Also, RPL's have 2.5W diodes that are usually only running at about 1.5W. You have a full watt of wiggle room to see how much power you can get.
The bottom line is that if you really want a strong blue, buy a lab module.