We definitely did this ... liquid soap, dishwasher detergent, toilet paper, laundry liquid, shampoo/conditioner, and tinned goods with long shelf life (e.g. tinned tomatoes, evaporated milk etc).

We stocked up on household items that we already use, rather than baby products, because, being first time parents, we weren't sure exactly what baby products we would like using in the long run, and didn't want to buy heaps of something that we ended up hating (e.g. a particular brand of wipes or nappies).