No, the only choices on the voting slip are "keep Big Ben" and "Demolish Big Ben"
You might want a rollercoaster, and sewer might want a wheel, and perhaps I will promise both of you that you will get what you want. However I accept no responsibility for building anything, it's not my job. So you might end up with just a pile of rubble. You will then both be said to have "won."
I will also be telling the people of Cornwall and Wales that they will continue to receive the "not having Big Ben" subsidy, although I have no power to pay it, and I will be telling the people of Sunderland that their factory employing thousands of people making spare clock parts is safe, because some other big clock tower is sure to want to buy them.
If anyone says that they preferred Big Ben to a pile of rubble, or comments that the road is now blocked, you will have the pleasure of telling them they have no right to comment, because they "lost."