Block Diagrams with offset in control theory
Obviously no.  You specify that 2 needs to be added, but you want to realize this without adding the 2.  You can't have it both ways.  Either you need the constant added or you don't.  You have to decide.  You can't add 2 without adding 2.  I'm not sure where the confusion is coming from.

By the way, with the constant added it is no longer a linear system, so some linear system analisys techniques don't apply.