Come to the library on Tuesday after school.
是的，正常的说法应该是：
Come to the library after school on Tuesday.
但原句也是对的：
Come to the library on Tuesday after school.
此句的 after school 放在句末，其实是个补充说明，也可以在 after school 前面添加一个逗号：
Come to the library on Tuesday, after school.
即说话者开始只是相到 on Tuesday，说完后感觉不是准确，所以又添加了一个时间 after school。句意为：星期二来图书馆吧，放了学再来。
