Yes, but in order to realise your share of the property, one of two things would have to happen, either she would have to buy out your share, or the house would have to be sold and the proceeds split and your share applied to your debts.(posted 8139 days ago)A house held in joint names is still not safe as an order for sale can still be made though your partner's share cannot be held towards your debts.
I think you need to be speaking urgently to solicitor about preserving as much as possible your partner's equity in the property particularly given the impending charging order.