In general no. Some specific programs may have a special admissions program (art and music are culprits here) and sometimes you need to apply to a specific school (e.g. Engineering vs Arts & Sciences). But usually, you can major in "Undeclared" for your first 2 years.
I've always hated the notion that we expect 18 year old people to invest $25-100k on education in "Undeclared Major" with the eventual hope that they will figure something useful out. It's almost as silly as dropping $25-100k on "Undeclared Stock or ETF", though unlike "Undeclared Stock or ETF", there is some hedonic benefit.