Great question. The answer is no. It’s first choice only. The only time a second choice will matter, is if it’s an area with leftover tags, meaning they were not all taken as everyone else first choice.
For example. Say there is 50 tags for a hunt. If 51 people select if first choice, and 200 people select it as a 2nd choice, only the first choice guys will get it.
If there was 50 tags in an area, and 25 select it as first choice, the remaining 25 tags will be issued to the 2nd choice people who are still in the pool.
Also remember Idaho only gives 10% of tags to non residents, and it’s my understanding that they are divided into 2 separate pools for the main drawing.