Of course, although not to the point of shedding tears actually. I just usually get teary eyed with certain stories, especially on RPGs.
Out of memory I remember I got teary eyed upon beating FF8 and watching the ending cutscene. Also right before finishing Tales of Legendia, when a certain character just "dies". There's plenty more examples with touching endings, so yeah, it's usual for me to be moved by certain scenes.