Yes, and it's awful; it's essentially mansion zoning (each lot is required to be massive).
The history of Shaughnessy land use is kinda interesting; it was designed to be an ultra-exclusive enclave from the start, and the province and the city have both used their powers to keep it that way.
In the first half of the 1900s, the province enacted laws mandating single-family homes only in Shaughnessy; they were particularly weird in that the Shaughnessy Heights Property Owners' Association was empowered to enforce them. In (more) recent years the City has done largely the same thing with zoning restrictions.
You also get tax breaks in shaughnessy if you have horses on your property. Not encouraging density there!
Edit: not shaughnessy. Somewhere further south - can’t remember where I was now
Probably thinking of Southlands, the technically-zoned-for-agricultural-use mansion district which includes Vancouver's only part of the provincial Agricultural Land Reserve.