Can Ikea Godmorgon be set up without wall mounting?

Hello dear community, I am currently assembling a tall cabinet and a base cabinet from the series Godmorgon. It was planned to mount the matching sink on the base cabinet (in our case Braviken 80cm, also from Ikea). The cabinets are already mostly assembled. The problem is that we cannot attach the cabinets to our bathroom wall because, on the one hand, it consists of tiled drywall, and on the other hand, our landlord does not want us to drill holes in the walls. Now we have bought the appropriate legs; at Ikea, they were only mounted on the front, each left and right, but I have doubts that this will hold. Therefore, I have read the assembly instructions again, and they also state that these legs are only to be mounted in the front area. Is there any way to make the entire construction stable with legs and without drilling?