After 2035 there will be a ban on sales of new petrol and diesel cars. So yes eventually there will no petrol or diesel cars on the road. So yes they are nudging/ forcing you along the way in that direction.
They are already making it harder now, if you have a diesel, lets introduce low emission zones, recent one is pay more for parking if you own a diesel car - that will eventually happen to petrol too compared to an EV car.
Eventually they will make the cost of petrol and diesel so high you have no choice but to change car or pay up if you can afford it.
EV cars were touted to have no vehicle tax, now they are bringing it in because it finally hit them how much money they will lose - the vehicle tax is far more than what I pay for my car.