Depends what you mean by a pattern. If you're thinking Person/Company/Transaction/Product and such, then yes - there are a lot of generic database schemas already available.
If you're thinking Factory, Singleton... then no - you don't need any of these as they're too low level for DB programming.
If you're thinking database object naming, then it's under the category of conventions, not design per se.
BTW, S.Lott, one-to-many and many-to-many relationships aren't "patterns". They're the basic building blocks of the relational model.