I think so. I only need my signature to use it, say, in a shop, to withdraw money from the bank etc, we each have a card, allows us equal access without the permission of the other.
Not sure why that means the bank would be able to take money from that account to pay my personal account bills though? They are completely seperate.
In fact, it is making me quite annoyed that they can do that, as it pretty much implies I am no longer a 'person' in my own right, and nor is DH. The money, and the bills, in the joint account, they are our shared bills, the money/bills in my own account, that is my money. The money in DHs own account, that is his money. Morally, we do not bother with this whole mine/yours. We share equally, but in terms of legalities, they could not pay my bills with his personal money, so why our shared money? He is not responsible for my bills!