No there shouldn't. Sadly, Some places there are but in the general eye, No there shouldn't be. A big primary example would be that some young kid who doesn't have a job/parents who could lend them money is suicidal and alone and needs help. They need to reach someone and they need to pay? They can't.
So no. Seeking help should not have a fee. Everyone goes through it and so everyone needs a chance for help.