There is many ways this can happen but mostly through having a solid plan that includes knowing exactly what you want to do and giving time to not be rushing around. I will share this story to inspire you to pause a moment during times touring the park because that is when special moments like this happen.
We were later in the afternoon and we were still looking to meet Tinkerbell (when she was still in her Nook with Periwinkle) and my daughter also wanted to meet Merida (who was newly after Brave came out), but we did not have time to do both because the line for Tinkerbell Nook (not on Fastpass) was 1 hour and the meet and greet for Merida was ending in 45 minutes, so we stopped before getting in line for Tinkerbell to make a decision. A tough decision for a 10 year old this was but as we were discussing, a cast member overheard the convo and approached us and another family that may have been having a similar discussion. She told us to follow here which we did to a back door. This magical back door led us to the front of the line. It was certainly one of the most magical moments for us that we will never forget. As soon as we were done which took all of maybe 10 to 15 minutes, the same cast member urged us on to go find Merida, which we were now able to fit in the schedule without any disappointment.
I share this to say, if we had not had the plan in the first place, we would not have had the need to stop and have that discussion in front of a cast member and would have missed this magical moment that we will remember for a lifetime. Not to say these happen all the time, but if you allow for them, they can and will at some point.
One of the best planning tools for this is touringplans.com. Check them out and have fun exploring and planning
For your magical vacation, Doug