Not likely. The caulk is usually just intended to keep water from penetrating below the surface. The "boards" are held down by adhesive and/or screws. If the boards are loose, then you have different issues to deal with.
In case you're new to this, when you clean the teak, gentle is better than remoing a bunch of the cellulose that binds the wood together. Once it's gone, you have top sand down the teak or live with the "ripple effect; or, replace it.