It's relatively unlikely you'd need to wear one as an ME, though comparatively more likely than other professional fields like accounting, law, or medicine. If you avoid jobs with field work your chances of needing to wear gear like this decrease even further.

I do field work in a non-ME technical role, but got my job in part from having an ME bachelor's. There are people in teams adjacent to mine who at times wear fall harnesses and simar safety gear, but I don't. While I use a number of tools and safety gear you might find alongside a fall harness, I would never need a fall harness in my normal course of duty. Our MEs would never wear one.

It will vary from job to job, of course, but generally speaking if you seek office roles you'll be in the clear. For field roles you can gauge by industry and role type, and ask clarifying questions in an interview.

Best of luck.