Yes, dogs and cats can live together and even form close relationships. However, it largely depends on the individual animals and their personalities, as well as how they are introduced to each other.
It's important to introduce them slowly and carefully, allowing them to become accustomed to each other's presence before allowing them to interact directly. It's also important to supervise their interactions until you are sure that they are getting along well.
In general, dogs and cats that are raised together from a young age tend to get along better than those who are introduced later in life. But even if they are not raised together, they can still learn to tolerate and even enjoy each other's company with patience and training.
Keep in mind that some dog breeds have a stronger prey drive than others, and may be more likely to chase or harm a cat. It's important to do your research and choose a dog breed that is known for being compatible with cats if you already have a cat in the home.