A qualified maybe.
In theory yes, as long as they both require about the same pressure on the low pressure side of the
regulator. They most likely do.
The maybe comes from two items:
1. How much gas can the regulator flow, depends on size, make, model of regulator. If your
current regulator can't do it you should be able to find one large enough that will.
2. Depends on how much gas your tank can generate. The tank contains liquified gas. That liquid turns to vapor by drawing heat from the surroundings (as you use gas you can feel the tank get cold). In the US we frequently say "propane" but what we really get is "LPG - Liquified Petroleum Gas", which is a mixture of
propane and butane in the US. Propane will vaporize down to -42C (-44F) while butane will not vaporize below freezing. You don't have a lot to say about what mixture you get. And the time when you want to use the
heater (and thus the most gas) is the time when the tank will be coldest, and thus least able to vaporize the liquid. In snow country we install larger than necessary propane/LPG
tanks just to get extra surface area for heat collection and vaporization. So, the temperature, size, and surface area of the tank and the surface area of the liquid inside the tank affect how quickly the liquid will vaporize and supply gas, it is quite possible in cold conditions to attempt to draw more gas than the tank can generate.