Not necessarily. Whether or not two different types of birds will fight in a cage depends on several factors, including the species of birds, their individual personalities, and the size and setup of the cage. Some birds are naturally more aggressive than others, and certain species may have a history of conflict with each other. The size of the cage and the presence of adequate perches, hiding spots, and food and water stations can also play a role in preventing or encouraging conflict.
If you are considering keeping multiple types of birds in a cage, it is important to research the compatibility of the species you are interested in. It is also a good idea to introduce the birds to each other slowly and carefully, and to monitor their interactions closely to ensure that they are getting along well. If you notice any signs of aggression or conflict, it is important to take steps to separate the birds and provide them with a safe and stress-free environment.