Does a date imply going somewhere? Most of my dates were at mine or other party's home, and we'd describe them as "dates".
AKA, there may be sexual interest simply due to the lack of immediate alternatives but neither party knows how to express it outright, so the flirting and hanging out together becomes more overt until its clear to both parties.
(PS: This is sorta why you don't see a lot of married opposite sex people "hanging out" alone in private. There is an understanding that your putting both people in a position of temptation, or if nothing else the situation definitely fires up the rumor mill because frankly there is a high incidence of cheating, and this is one of the clearer ways this happens. ).