Oh yeah of course. Even in Chinese-majority Singapore there's a lot of puritanism and, for instance, homosexuals don't have full rights. So imagine how it's going to be in any muslim country.
Discussion
Wait, homosexuality is still against the law in Singapore?
No, not any more. But for instance they still can't institute marriage-equivalent legal relationships, which affects their property rights as far as inheritance and so on goes.
HK is the most free of all those places, even politically.
Singapore has the death penalty for drugs, and even chewing gum will land you in jail for 2 years.
Dubai has problems if you're female or sexually nonconformist.