Yes, reducing the commute from 2 hours to 30 minutes would increase the probability that the individual takes the job because working now requires less time without reducing their earnings.
To illustrate this, draw a graph with leisure hours on the horizontal axis and income on the vertical axis. Draw the original budget constraint, then draw a second line shifted outward to represent the shorter commute. Both lines have the same slope because the hourly wage remains $12.
The shorter commute allows the individual to earn the same income while enjoying more leisure time, making the job more attractive.