IN theory, no reason it could not be done, In practice? Well, that is another matter.
The automatic domes (Which I am most familure with) are around 3' circles (Motosat T-2 Automotion is 27 1/2 inches around by 12 3/4 inches high) this means that the wind load for a tripod is not that bad but the weight is on the high side and the physical loads as it moves the antenna round may cause issues, Also it's BIG for tripod mounting.
However one could make a custom tripod fairly easily that would do it, or use a really strong one.
Nobody does however, that I know of