I don't like splash screens.
If you're referring to the startup splash screen then no you can't.
That particular screen is used to show it's still launching while it loads the components and if necessary optimizes the font menu. If you're referring to the Project Browser that starts up right way - yes you can.
To stop the Project Browser from showing up go to Preferences of whichever Office application is open, go to the General section and uncheck "Show Project Gallery at startup"