No; as long as those are the only pieces on the board, it can't be done. However, if your opponent has more pieces, than you might be able to try to trap the king against them in a corner and score the checkmate that way (in almost all cases though, it's not possible).
While we are on that topic, it is also impossible to checkmate with just a knight and a king, but if you have a knight and a bishop it IS possible to score the checkmate. If you happen to be interested, here is a link to a pretty good video that explains how to do it (it is definitely one of the most difficult checkmates possible if you ask me)https://www.youtube.com/watch?v=r3EqM17jvOc there are also places online where you can practice these mates if you so happen to also be interested in that. (just look up bishop/knight checkmate practice and you'll find one)