On turn 7 you have 8 cards: 1 Remake, 4 Silver, 1 Warehouse, 0 Estate, 2 Copper. You aren't that far from a golden deck. You just need a bishop and a gold and then some trashing. You should be able to thin your deck pretty quickly, since your opponent has 3 bishops and you should have 1.
So yes, you can make a golden deck without chapel. It's a lot easier if your opponent has a bishop or 3 in this case.