Absolutely! Absolutely we put restrictions on their application list. We started with cost. We wanted to make sure, in a worse case scenario if no merit aid, we could afford to be full pay. If we approved a school going on their application list, they were free to choose once results were known. An added bonus was merit aid really changed the cost of the attendance landscape and our DCs seemed to gravitate to the schools that had shown them the love.
To start the process, DH and I tapped a list on the refrigerator. On the frig so it would be front and center, junior year. A list of 50 schools that we thought were good options. It was in descending order of full pay cost just to get DCs use to the idea of the cost of college. We asked them to do enough research to keep a running list of 10 favorites. We knew the particular 10 would change widely during the process. But to always keep 10 on the list. They were free to present their case for any school not on our list of 50.
Just one kooky

way that worked well for us