Yes, depending on the expected traffic or perhaps a history of incidents, a driveway could have some the same characteristics as a bone fide street crossing: a surface change, curb cuts, markings, a stop line, or even a sign. It’s a gray area, but I’d err on the side of tagging a crossing if there’s something exceptional about it.
(This query is pretty handy for finding these cases in areas where crossings are reliably mapped as ways. However, it also turns up lots of false positives with inaccurate service=driveway tags and unnecessary crossing tags.)