induction hob oven set up

I currently have a cooker socket on a dedicated 6mm cable from a 32a MCB. A 2.8kw oven plugs into this and a 5.8kw ceramic home is wired in from a 6mm cable. We want to keep the oven but change the hob. We are thinking of putting in an induction one which is rated at 7kw. Is this possible or...