dog
Yes you can.
birdbath early bird birdhouse bluebird blackbird jailbird
birdhouse
Motor bird is not a compound word.
dog bird dog hot dog dog house
birdseedbirdbathbirdcageblackbirdbluebirdbirdbrainbirdhouseredbirdgaolbirdjailbirdlyrebirdwhirlybird
bird bath
Boathouse is a compound word.
No. House pet is not a compound word.
No, tree house is not a compound word.
long + house = longhouse
One such word is nuthatch. (a bird)