In a sense no, because:
Happiness is largely a matter of chance (etymologically good fortune = good luck): our place of birth, our family, our health, our wealth, are all elements that do not depend on us and that are essential to happiness .
Even if happiness does not depend on these things, but on our temperament, it is still a matter of luck because our temperament does not depend on us!
But in a sense yes:
In fact, the elements we have cited largely depend on us, we can act on them. Examples: our health (through hygiene), our wealth (through work).
And above all, happiness depends on many things which depend on us, if we know how to attach more value to our virtue, our efforts, than to chance.
Finally, if we are able to follow the lesson of the Stoics and give value only to that which depends on us, then our happiness will depend entirely on us. We shall be perfectly free.
we might wonder about the following question: does it depend on us to be able to convert to Stoicism? We then ask the question of inner freedom ... (Be careful not to get bogged down!)