Does your employment history show how long you worked somewhere in background check?

I recently got a job offer for Walgreens and they’re conducting a background check. I already completed drug test. In the background check I notice the form I signed says it may verify prior employment history. The (one and only) job I listed may have slightly inaccurate employment dates that I gave them. I know I worked there for about 3 to 4 months a few years ago but I don’t remember when it was exactly, except for the general time of year. I didn’t work there long cause of health issues that got in the way.

Is it possible I can lose job or be questioned about that for being off on period of time? Would how long I worked somewhere show up?

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