One case in point, several years ago a fair number of folks wanted to substiture an ETA 2893-2 GMT movement into the Rolex GMT IIc, which uses a modified 2836. a few folks tried the swap, a couple of people were able to do it, but it took a lot of different parts and some serious compromises, enough trouble that most people gave up on the idea.
Next to impossible since the 2824-2 is a thinner movement and using a 2836-2 with the GMT module would give you no room to finagle it in with different shims or dial spacers. The GMT module adds to the thickness and the space needed.
On the other hand you might be able to put a 2893-2 GMT into that case but the cost might not be within your budget and the only way to find out is to buy one and try it.