Is it possible to eliminate all attachments?

Attachment is clearly something that we have all experienced, from a baby who is attached to their mom to an adult who is attached to their family. It is clear that attachment leads to suffering, so becoming non-attached helps alleviate suffering, but should all attachment be removed(one is bound to their physical body as long as they are living). Is it even possible, doesn't just one become attached to non-attachment? So, perhaps one has to attain a "middle way" - recognizing attachment and not resisting it, but also not letting it control us. I am curious what Buddhist texts say about this.