Not by Option (Alt)-dragging a single note. If you select multiple notes and Option-drag one of them you'll copy all of them. Or you could select one note, Copy it, and repeatedly locate the playback cursor to the desired location and Paste.
But to do what I think you're trying to do, you would drag the Region from the Loop icon in the upper right corner, and the content of that Region will repeat for as long as you want (you'll get as many copies of the content of that Region as you want depending on how far to the right you drag, whether the Region contains a single note or multiple notes). Check out video #20 (in the course attached at the top of this thread) starting at around 1:20, to see this..