Should I call places back I've applied to?

And if so, what should I ask? My mom used to practice this method in the 90s but she would work at places like Del Taco, Rite Aid, some optical manufacturing company and Vons.

Is this method outdated? I’m desperate for a job! I think I’m a perfect fit for this photography gig with the car dealers though and it’s full time. I just really want to show them I’m their guy for the job, sick of being unemployed with UI claims having been exhausted just last month. Any advice?