You can use it with pretty much any tense I think :
Jeg håper å finne meningen med livet (Infinitiv) I hope to find the meaning of life
Jeg håper (at) du liker maten (Presens) I hope you are enjoying the food
Jeg håper (at) du likte maten (Preteritum) I hope you enjoyed the food
Jeg håper (at) du har hatt det fint i New York (Perfektum) I hope you had a nice time in New York