Can digital free of charge to air (dish) and terrestrial signals be fed by way of a single co-axial cable and split at Television?

Question by Jim M: Can digital free of charge to air (dish) and terrestrial signals be fed by means of a single co-axial cable and split at Television? Dilemma is there is only 1 co-axial cable running from loft to living space. Best would be to connect satellite dish and terrestrial aerial to input in loft, [...]