No. The physical concept of 'binding energy' is tied to the concept of a force field. All of the examples of physical force fields that we have ever encountered have a source. Electromagnetic force fields have some nearby or distant charged body as their source; nuclear force fields have the exchange of gluons between quarks as their source; gravitational fields have both matter and energy as their sources. Binding energy is simply the energy you have to provide an object so that it can 'escape' or become dynamically independent from some physical field. Perhaps the only example of a 'sourceless' field we know about is the so-called 'Higgs' field which exists everywhere in space. But it is a purely hypothetical idea and no one really knows if it exists. Its 'source' would be the physical vacuum itself.