Nope. The boss wants the line in this case. The data is reported either monthly, quarterly, or annually. It's a measure of data for one whole month, quarter, or year, even though it's one number representing an entire time span. Seems the graph defaults to a monthly plot, and if you're graphing quarterly data you'll have missing months (even though all three months are covered in a quarter).
That Mr.Excel chatboard is quick. Within a minute, I got a response to use #N/A in the cells lacking data. Thus, I will have continuity and get my lines, without data points at points where there is no data.