The short answer is: No, li-ion batteries do not have a "memory" meaning that you do not have to fully charge/discharge the battery to maintain capacity. There is much discussion on the topic of Battery having Memory but these batteries do not.
There is an excellent article at Battery University called Lithium-based Batteries that we encourage you to read. It contains a significant amount of information that we decided not summarize here. We thought it best that people read the entire article.