Is it possible to choose to do things organic and also choose to follow Jesus?
Yes. It is possible.
A person does not have to ignore scripture and give in to claims that the bible is false.
The bible clearly says "love your enemies." So you can follow and meditate on scripture regularly to understand many things.
In fact, life will be less burdensome when one is able to apply scripture. Scripture allows you the ability to eliminate lies from your life. Furthermore, there are natural living methods right within the bible. Living in a tent (simple living), Lentil soup, unleavened bread and cakes and so forth.
The scripture is focused more on heart change overall.