The most common and most likely answer to this crossword clue is the 4 letter word FORD
I've seen this crossword clue in The Guardian
F
O
R
D
More clues leading to the result FORD
- Supporting daughter, means to cross river
- Cross over road pursuing female
- Leading Republican once supporting Democrat
- Supporting Democrat, unelected President
- Supporting Democrat as president
- Force over road crossing
- Cross appropriate to duke
- Cross over, right through openings of 7
- A presidential car?
- Where one goes from bank to bank to get a bit of dosh
Buddy explains!

The straight part
We know that "Car/way for pedestrians" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case car/way for pedestrians = ford.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 FORD mean?
FORD noun- A location where a stream is shallow and the bottom has good footing, making it possible to cross from one side to the other with no bridge, by walking, riding, or driving through the water; a crossing.
- A stream; a current.
- To cross a stream using a ford.