"distant trip" is correct and usable in written English.
It is typically used to refer to a trip or journey that is far away or to a far-off destination. Example: "After months of planning, we finally embarked on our distant trip to Asia. It was a once-in-a-lifetime experience."
A flyby of the moon might be followed by more distant trips to so-called Lagrange points, first to the location where the gravity of the Moon and the Earth gravity cancel each other out, then to where the gravity of the Earth and Sun cancel out.
But otherwise little happens during visits to the distant jail, trips to the seaside, Karen working as a shelf-stacker and barmaid, the kids going to school.
Situated on a spectacular plot overlooking the Hudson River and nestled into a park designed by the Olmstead Brothers, sons of the landscaper responsible for Central Park (and somewhere a distant relative), the trip is more than worth it.
Driving to the Arctic Circle was on his bucket list — and a distant hope for this trip.
As some scientists consider the practicalities of a multigenerational trip to distant stars, a self-described exo-semiotician ponders what the response should be to a call from far, far away.
The Grand Canyon is too distant for a day trip, but OAK CREEK CANYON near Sedona (the local tourist bureau is at 928-282-7722) is only about two hours away, straight up Interstate 17.
A word to the wise for anyone planning a winter vacation or business trip to distant lands: a few simple steps can go a long way to keep you free from an admittedly rare but sometimes deadly complication of long trips, especially those taken by air.
Many experts prefer a flexible path that would have astronauts first travel to intermediate destinations: a circle around the Moon to show the world that we can still do it; a trip to distant points where huge telescopes will be deployed and may need servicing; a visit to an asteroid, the kind of object we may some day need to deflect lest it collide with Earth.
Despite its welcome call for international cooperation, the paper does not invite other nations to join in those trips to distant worlds.
Cable TV was still a distant dream and cinema trips were a rarity what with the newest addition to my family still on hourly feeds.
