As far as I'm aware the landowner would own the mooring rights to that side of the canal.
But I would be more worried about all the trees on the banking, it's a main road and you would be liable for any problems if any of the trees block, fall or obstruct the highway.
Which would also include all necessary cutting back for high sided vehicles and buses, something which the council can legally force you to do or bill you for the works and all the necessary tree preservation paperwork.
In addition any moorings would need off road parking and I doubt the owners or the council would permit any such development of green spaces.