I suspect if it has been tried, it's very rarely. Usually they are in flower at quite different times of year no? Pollen would need to be stored in the fridge for a few weeks I think.
Apparently they're not as closely related and it's already difficult to hybridize between Eriobotrya and Raphiolepis - I would imagine Cydonia to be much further away.
My gut feeling is that the false quinces, Chaenomeles and Pseudocydonia, are more likely to yield hybrids, as they share more characteristics such as semi-evergreen-ness - if I had the pollen handy I'd give it a go (I have some young plants of both at my parent's place that could be used).