This is already done by creating a hole in a board and then jam a chisel in this hole; but it is a clumsy and imprecise.
There are also already perfectly good router planes but they are expensive and have only one cutter and hence only one width.
But… as a carpenter one has a bunch of chisels. So why not have a holder for them that does what a router plane does? It is probably not as good as there isn’t any flat part of the cutter against the wood but for much of the work it should do.