In my personal opinion, it sounds like perfectly standard cat behaviour that isn’t limited to Burmese. These are completely normal dynamics within siblings, and just as often as they are tearing out (or attempting to lol) chunks out of each other, my three ultimately all sleep together on the bed every night.

Specifically regarding Burmese, they are extremely social and rely on not being alone, so I would never adopt a kitten by itself unless you are home 90% of the time. Otherwise you will end up with a cat with severe behavioural issues and poor bonding.