It is very difficult to deal with attachment (clinging; egoism) if one has not dealt with craving. If (the urge; drive; energy of) craving is not extinguished then attachment will keep raising its ugly head.
It is like having craving symptoms towards a drug. To resolve this, the craving symptoms must be destroyed via cold turkey, otherwise the mind will continue to be tormented by the craving symptoms. To attempt to be non-attached towards craving symptoms is a difficult endeavor because the craving symptoms themselves, whilst not being suffering itself, still have a tormenting or oppressive quality. MN 148 is the only sutta I am aware of that mentions non-attachment towards craving. Most suttas mention the extinguishing of craving.
Or many men become monks but fail due to not being able to overcome sexual desires. Abstinence from sexuality & attempts at non-attachment towards sexual desire generally do not extinguish the sexual desire (craving). Thus, the life of a monk is difficult for them.
That said, attachment (upadana) is mentioned in the 1st noble truth as suffering itself. By using the word 'sankhittena', the 1st noble truth summarises all suffering as attachment (to the five aggregates), such as described in MN 140:
I am' is a construing. 'I am this' is a construing. 'I shall be' is a construing. 'I shall not be'... 'I shall be possessed of form'... 'I
shall not be possessed of form'... 'I shall be percipient'... 'I shall
not be percipient'... 'I shall be neither percipient nor
non-percipient' is a construing. Construing is a disease, construing
is a cancer, construing is an arrow. By going beyond all construing,
he is said to be a sage at peace.
For example, the various sufferings that occur in relation to child-birth, living, aging, sickness, death, separation, grief, loss, etc, only occur when there is attachment involved. The sufferings of birth, aging, sickness & death do not occur when there is no attachment.
Whether the mind is attached to something (e.g. possessive) or whether the mind suffers sorrow (grief) from losing what it is attached to, both the pre-grief possessiveness & post-possessiveness-grief are suffering & bondage. (However, this can generally only be comprehended with the experience of non-attachment. Without a meditative experience of liberation via non-attachment, most people cannot comprehend attachment itself is suffering).
The 2nd noble truth does mention 'becoming', which is similar to attachment, when it describes the arising of suffering as: "craving leading to new becoming".