Answer
Yes, it has nonzero angular momentum with respect to the origin. This angular momentum does not change.
Work Step by Step
We see from equation 10.24 and Figure 10.23 that the particle’s angular momentum has magnitude mvl, where the particle has momentum mv, and its closest distance of approach to the origin is l.
Because the particle moves in a straight line at constant speed, there is no net force acting on it, and hence, no net torque. Angular momentum is conserved, i.e., it does not change.