Ask HN: Can I hide an employer when applying for a job?

I joined a company a month ago and I'm currently applying for a new job since I'm not happy at all. I've been in for only a month and was wondering if I could simply bypass this experience when applying to other companies without getting into any troubles? I just want to make it simpler and smoother.

Would a company find out about that experience when they'd start their onboarding process?