FFVI has romance, by all means, but it's not nearly on the scale of games like FFVIII and FFX, where the romance is intergral to the plot. I'm quite thankful for that, because I never could stand romance-centric plots.

It really depends a lot on what your definition of romance is, and how good you're at reading into things.

Of course, there's a million other reasons to play FFVI. *biased*