Hi, How to make a trip from Xi'an to Shaolin Temple, Longmen Grottoes and Guanlin Temple in Luoyang?

Take a bullet train to Luoyang Longmen Railway Station from North Railway Station (about 1.5 to 2 hours). Upon arrival, take bus line 67 to Guanlin Temple. After visiting, take bus line 71 to Longmen Grottoes. Afterwards, take a direct bus to Shaolin Temple. The buses depart at 10:00, 11:00, 13:30, and 14:30. The fare is CNY 130 including the bus fare, tour guide fee, and admission fee to Shaolin Temple. Have fun! :)

Can the trip to Shaolin temple from Xi'an be done on a day trip?

Yes, you can make it.