Is it normal to not use a washcloth?
Yep.Totally normal
Yes, it’s completely normal not to use a washcloth. You can wash just fine with your hands and soap; a washcloth is a preference, not a requirement.
Plenty of people wash with their hands, while others like a washcloth, loofah, or similar scrubber. There’s no special hygiene rule that says you need one—soap, water, and a good rinse do the job.