Can more than one antibody bind the same antigen
Let's clarify the terms. An antigen is a molecule that can be associated with a particular substance (virus, pollen, dander.) When an immunoglobulin or antibody recognizes an antigen it binds to a specific epitope. An antibody recognizes an epitope using its paratope.

Some antigens have multiple epitopes; this means that different antibodies can simultaneously bind to them (if the epitopes are far-enough apart from each other so that binding to one doesn't preclude binding to the others.) 

An example from my work is influenza (flu) hemagglutinin, which is a major viral coat protein. Here's a low-resolution structure showing a "head-binding" antibody fragment (actually three of them), and here's a similar structure showing a "stem-binding" antibody fragment. Our immune repertoire (and physiology) greatly predisposes us towards producing head-binding antibodies over stem-binders. Note that each structure has three antibody fragments bound in the same state. Because the head-binder and stem-binder antibodies are well-separated in space they can both be accommodated in a single complex (as is experimentally confirmed.) In this case, up to six antibodies, using two distinct paratopes, could simultaneously bind to a single antigen.

For matured (high affinity and high specificity) antibodies, each binds a specific epitope. The typical state of affairs is then explained "one antibody per epitope" which is overly simplistic because some epitopes can be recognized by multiple paratopes (which would be found on different antibodies.) So a given epitope can be recognized by no antibodies (a new antigen, or one that is poorly immunogenic) or by multiple ones.


  Is it true to say that the same substance could bind with (and, therefore, be recognised by) more than one antibody, or not?"


Yes, that's true.