Everything inside of quotes is treated as literal text. So it is not recognizing your variable as a variable. The variable name cannot be enclosed in the quotes. I think it is easier to follow along if you build the SQL string separately before using it (not necessary, but keeps things looking a little cleaner).
So try this:
Code:
Dim myTableName As String
Dim mySQL as String
myTableName = Format(Date, "mmddyyyy")
mySQL = "SELECT * INTO " & myTableName & " FROM cdbfi_inventory_vw"
CurrentProject.Connection.Execute mySQL