There is no definite affirmative answer. It seams that we can only say that, since nowhere in the w3 consortium specs it is stated that an input can be associated with multiple forms, it implies that it cannot; (and also a conclusion that w3schools info should be taken with a grain of salt as CBroe noted).
When I tested it - using two forms with ids "form1" and "form2", and an 'outside' input element with form-attribute set to form="form1 form2" - this input did not submit with neither of forms. Meaning that, since form-attribute is not exactly set to one form id, it doesn't connect it to any form.
Further in the test I have added a third form with form id="form1 form2". This resulted in input element (which is outside of all of the forms, with form-attribute set to form="form1 form2") to get submitted with this form, but not with form with id="form1" nor with form with id="form2".
Therefore, with my limited knowledge, I dare to make a conclusion:
One input element cannot be associated with multiple forms by specifying space-delimited ids for its form-attribute (or by any other means most likely).
This question is a duplicate of Multiple form ID's in HTML5's input form attribute, but there is a bit more detailed explanation here.