The present tense is good when used with the first-person POV as it gives the feeling of 'senses of happening' in the story. The characters are almost in the same situation as the readers, they (the character) doesn't know what will happen next. So you can't give some kind of possible spoiler at then end of a chapter like 'I never knew that what I did that day would to a massive event that would eventually change my life latter'. Now, the question is as it stated in this thread title, is it acceptable to write using present-tenses in non-linear narrative in terms of rules of writing? Or is it even applicable? I never try it before. Please give me your advice and opinions as expert, writers, and readers.