Can mortgages payments be made weekly so that over a months time at least the minimum monthly payment is made?

Well, lenders may not allow you for a weekly payment. However, you can go for the option of biweekly payment. This may help you to a great extent.

You should contact your lender and try to negotiate with him for a weekly payment plan. If he agrees to it, then well and good. If he doesn't, then you will either have to go for a biweekly plan or a monthly payment plan.