This article is from the Final-Fantasy and other Square Soft Games FAQ, by email@example.com (Nick Zitzmann) with numerous contributions by others.
Of course. In fact, Square's first few games weren't RPGs - "Rad Racer,"
"King's Knight," and "The 3D Battles of World Runner" were their three
first games in the USA. These days, however, Square doesn't put out
anything much that's not an adventure game or RPG.
Some of these will be mentioned later.