Yes, but please note three potential complications, (1) the USCIS has run out of H-1B numbers for FY2011, so the earliest start date for employment will be the beginning of FY2012, October 1, 2011, (2) the H-1B cannot be granted as a change of status unless your current NIV status is valid to October 1, 2011, and (3) the USCIS will usually need to have the H-4 approved prior to the approval of the H-1B.

Your scenario is a bit more complex than you may think, I recommend you consult with an experienced business immigration attorney.