The most common and most likely answer to this crossword clue is the 11 letter word PEREGRINATE
I've seen this crossword clue in The Daily Telegraph
P
E
R
E
G
R
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N
A
T
E
More clues leading to the result PEREGRINATE
Buddy explains!

The straight part
We know that "Voyage here and there" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case voyage here and there = peregrinate.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does PEREGRINATE mean?
PEREGRINATE verb- To travel from place to place, or from one country to another, especially on foot; hence, to sojourn in foreign countries.
- To travel through a specific place.
- Peregrine; having travelled; exotic, foreign.