Its kindof a silly question without more detail.
I played La Tour Golf Club, which is about 45 minutes from my home course for the first time the other weekend. Its the same 6700ish yards, same type of grass, same relative layout as my home course, same weather conditions and wind etc... I didn't notice too much. It was totally flat, like most courses where I am. I shot 76, which is what I would expect to shoot at home.
I played Sunnapee Country Club in New Hampshire, which was a beautiful, short Donald Ross track with devilish greens and tons of hills. Grass was different on the greens. Was hilly (which I had very little experience with). Some holes had greens way above some way below. Its a fantastic course. I shot 92 the first day, 94 the second day, and 81 the third day.
So, it depends on how different "different" is.
EDIT: Fully aware those are bad scores for my handicap, before GHIN0001 goes off on me. It was very different playing golf in the hills with greens up and down.