Earlier quoted context omitted.
No, I don't believe that's normal. That sounds like a CEO trying to take advantage of the labor force.
Thanks everyone, that's what I was thinking as well, but I'm fairly new to startups so I wasn't sure.
Nonetheless, given YOUR market, you should check whether the other parts of the compensation they are giving you are right. For example, there was the case of Mailchimp a couple of days ago: They gave no stock to their employees. However, in theory their compensation package was good in other ways. So if the company is offering you a good salary + benefits (what about 401k matching? PTO? sick days? gym membership, WFH and whatnot), that will give you the full picture.