This week's book giveaway is in the OO, Patterns, UML and Refactoring forum. We're giving away four copies of Refactoring for Software Design Smells: Managing Technical Debt and have Girish Suryanarayana, Ganesh Samarthyam & Tushar Sharma on-line! See this thread for details.
No, because all that allows you to go is have a Composite containing a single Leaf. The idea behind the composite pattern is to allow you to build a hierarchy of grouped objects. So what you need is to implement it so that each Composite object can contain multipleComponent objects (not just Leafs). That way you can put Composites inside Composites.