@tanguatlay,
Yes – look at the difference between them in these two examples:
I hope that by being steadfast in our faith, all believers in our religious organisation will be able to overcome our daily difficulties.
I wish that by being steadfast in our faith, all believers in our religious organisation would be able to overcome our daily difficulties.
"Hope" means there's an expectation that something can happen.
"Wish" implies some uncertainty or improbability.