No.
The lying down position for the carrier must be avoided, as it amounts to placing the baby on their stomach, which is not recommended by safety guidelines. Additionally, the wrap could exert pressure on the baby's chest when the carrier is lying down.
Baby wearing — like any activity carried out with one's baby, especially in the first months — must be done under the full supervision and attention of the carrier.
However, babywearing is not limited to moving around, and it is possible to practise it during quieter moments. The adult should then be in a seated or semi-reclined position.
The safety rules here.