No - you will destroy any functionality that already exists - very quickly and very easily.
A fine tipped soldering iron and very fine flux-cored solder is your only realistic approach.
Use a watchmakers glass to find dry joints - if there are any - often revealed by a faint "ring" around the component leg.
The common mistake of novice solders it too much solder and not enough heat - warm the joint until the existing solder melts - dab on the solder and after about one second - quickly remove the tip of the iron.
Do not be tempted to re-solder everything in sight - you are more likely to create dry joints. Only tidy up the known bad and very suspect joints.
Use Google - select Images - enter dry joint and see what a dry joint looks like. The bigger the solder "pad" the more likely there may be a bad joint - insufficient heat applied during manufacture.
Heat related faults can sometimes be diagnosed with a hair dryer and or a can of freezer spray - dry joints can sometimes be detected by tapping with the end of a wooden spoon.
Removing the cooling fan could be fatal for a CPU and I counsel against it.
Good luck...
Peccavi
October 2010