Yes. Multiplying a vector by a scalar gives you the another vector with the same direction, and momentum is a vector multiplied by a scalar.
Momentum is simply mass times velocity, or
Velocity is a vector (involving direction or route, not considered just as a straight line), while mass is a scalar quantity (it does not matter what direction a mass is in).
A vector with direction multiplied by a scalar without direction will have the final direction simply of the vector, as the scalar does not affect the direction at all.
You could think of the algebraic analogy
where the quantity in front changes, but the actual direction, say it is