Not as a usual matrix multiplication. In order to multiply "AB" where A and B are matrices, the number of columns of A must equal the number of rows of B. That is not true here and I do not know of any definition of "multiplcation" that will work.

You could, of course, multiply the other way:

.

Added: you could do this as a "tensor multiplication". That would involve multiplying all three elements of A by each of the 9 elements of B giving a 27 element "third order tensor". It would have to be written as a "three dimensional matrix" consisting of the three layers:

but that is probably NOT what is intended!