There is no reason not to, because as your fingers learn the chord, you will no longer put them down in any order. You will just play the f chord. I know this is hard to believe, but there will come a time when you can't remember not being able to make the chord. There are a very very, lucky few that don't have to go through the same thing. We have all been there. Does not matter about which finger you put down first. Just keep working at it, and pretty soon all fingers will go down at the same time. Don't give up, it will come.