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No it won't... Unless they are totally slack in the first place.
Quote from article @Thuekr just posted:
"Within a ‘normal’ range of spoke tension, wheel stiffness is unaffected. "
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and sheldon brown /Damon Rinard:
http://sheldonbrown.com/rinard/wheel/index.htm 1. Does stiffness vary with spoke tension? ...Some believe that a wheel built with tighter spokes is stiffer. It is not. Wheel stiffness does not vary significantly with spoke tension unless a spoke becomes totally slack.
Yes it will.
I'd up the tension.