No. The NY boutiques do not cultivate long distance clients like they used to. Madison in particular prioritizes clients that can physically come into the store to shop. Phone orders etc. are unlikely to merit the kind of attention that would lead to QB acquisition. For any other purchases, feel free to shop wherever you like. I occasionally shop Singapore, Liat, and it is the same. They are exceedingly nice and I buy a few items of RTW when I visit family once a year. Although I could meet 1X plus a year, i dont consider myself in the pool of regulars (and more importantly, neither do they).
It is possible that FSH would bend for a longstanding or high spending client, but twice a year is considered on the low side of new clients that hope to become regular. (I shop FSH twice a year with a regular SA, and I get offered QBs twice a year, but I still consider Madison my local store where the large majority of spend goes). This is my understanding from speaking to a few SAs at FSH. Of course exceptions will be made for the right client, but few of us meet those kinds of exceptions.
For Las Vegas or Hawaii, I get the impression that for QB, more than once a year would be expected in order to become known as a regular for someone new.
It’s my understanding that Petit H can only be purchased at Sevres in Paris or on line. This may be due to the extreme limited aspect of its creation
ETA: my observations are really limited to my own personal experience. I believe that the experiences of long tenured clients are very different.