There are no known "alien races", so the question is more or less meaningless even if "animal characteristics" was defined well enough for us to tell.
Yes. Some alien races have animal characteristics (i.e. mammals, reptiles, amphibians, insects, arachnids, gastropods, reptomammals, reptavians, crustaceans, avians, mammavians, etc.).
If aliens exist, the alien races may have mammavian characteristics.
If alien races do exist, they could possibly have hermaphrodite characteristics.
Alien races could possibly have elf characteristics if they do exist.
If aliens exist there could be some alien races that have reptavian characteristics.
If aliens exist, some alien races could possibly have simian characteristics, such as monkeys, gorillas, etc.
If aliens exist, some alien races could possibly have equine characteristics.
If aliens exist, some alien races could possibly have ursine characteristics.
If aliens exist, some alien races could possibly have caprine characteristics.
If aliens exist, some alien races could possibly have porcine characteristics.
There is no proof that aliens exist. If they do, it is possible that alien races could have insectile characteristics.
Some alien races could have mineral based characteristics, if they exist.