Since they are only distantly related, being of a different species, genus and even family, I highly doubt that they would even mingle and attempt to mate, never mind produce offspring. The only category they share, besides of course being birds, is ‘Order’. Both are in the order Passeriformes.
the only expertise i have with birds is cooking chicken and turkey...
when i first saw these birds together the first thing that came to mind was the end is near...