Yes, you can leave jobs off of your resume. Resumes are a personal summary of your relevant job experience, qualifications, and skills, not a list of every job you’ve ever held. If a position isn’t relevant to the job you’re applying for, you should leave it off your resume. For example, if you’re applying to be a writer, you don’t need to list that job you had as a cook in college.
However, you should be prepared to explain any employment gaps during an interview, as well as any information you’ve omitted from your resume should the employer find out during pre-employment screenings.