有没有enjoy to do sth.?

没有
enjoy in doing sth

一般enjoy后面加动词要变ing形式, 如果出现enjoy to do sth,那么enjoy 就于后面的动词没有关系,二者是分离的,举个例子:
He told me the day that he enjoyed to make me satisfied.
在这一句话中,that he enjoyed 为一个定语从句,修饰the day,
to make me satisfied是主句中的词,表示目的与enjoy无关. 句意为: 他告诉我他过得愉快的那些日子以让我感到满意.

no. we usually say" enjoy doing sth"

有 enjoy doing sth.
enjoy oneself

enjoy (in) doing sth
会有楼上所说的情况