Entry-level positions are often a numbers game, where the goals are to find a role where your background fits the immediate needs of the employer and where your resume and interviewing skills show that you can quickly learn the on-the-job skills needed to grow as a professional. There is no perfect formula for being an ideal candidate, and certification may or may not help you land any given job.
My Guidance Counselor Hat
Wearing my guidance counselor hat, the only practical answer to a question like yours is to shop your resume around and see if employers are interested in your current background. Some will be, and some won't, and most won't provide you any useful feedback at all.
Politely Solicit Feedback
If you do receive any feedback, don't debate the merits of your background with the employers. Simply acknowledge the feedback, and consider whether it has merit for you to add the additional skills, training, or other background material to your reservoir of experience before continuing to shop around for a job.
Seek Junior or Entry-Level Roles
If you lack experience, confidence, or both, then you should seek out entry-level or junior-level roles. Some jobs actively seek junior-level candidates who will cost less, but are able to master the role quickly while working under the supervision (and occasionally the useful guidance) of a more senior practitioner.
Such roles exist in all job fields, and project management is no exception. Deliberately seek out such roles until you are able to successfully compete for whatever your ideal role might be in the future.