Yes, momentum, like velocity, has a direction, and is a vector. (even though it isn't mentioned very often in these high-school problems).
Its direction is the same as the direction of the velocity that it's made of.
But the statement is a bit sloppy . . . It's true that momentum has a direction just like velocity has. But neither of them involves "a force".
Velocity is a direction with a SPEED.
Momentum is a direction with a product of (mass) x (velocity).