Hi Ac! It's hard to know for sure if your sentence will correct, as you have given a dependent clause, not a full sentence. I think you should include the part you mentioned in your explanation, as in "In order to have a higher possibility of getting the honor of working with someone." As for the word "getting," technically it's correct. But it doesn't have the best connotation in English, and it would make more sense to say "receiving the honor" or "obtaining the honor." Hope that helps!!

It sounds formal, so replace 'getting' with 'receiving' or so on.