A good question. If you want the fuel in the source can to go into the target can, there are two ways to move it.
The first is gravity, but that can be slow and it can be interfered with. It can be made to work, but is best used to support the next way.
The second is to have a temperature differential between source and target. You want the source to be warmer than the target, so the fuel is driven by the pressure differential. Gravity is certainly useful here as well, but this is all about the difference in temperatures.
If you start with the source canister at, say, +30 C (which is perfectly safe) and the target canister at -10 C, and the source above the target, then fuel will flow. You can use hot water from the kitchen to get the the source canister to +30 C, and you can put the target canister in your freezer to get the cold side.
Frequent checks of the weight of the target are essential: the target canister should never be filled beyond the original ex-shop weight. There must be some vapour space above the liquid fuel.
Cheers