If this is just a quick fix to get the form filled try this:
Change the Field FIll colors to White, and that will blot out the text underneath. In LiveCycle you can also create Rectangles (Change Fill and Border to White), to block out other text, lines, etc. Look on the Object tab
In Adobe Acrobat Professional the fields can be changed to White as well, and Acrobat Pro is alot simplier than LiveCycle, but sometimes we make do in a pinch so I totally get it.
Good Luck!