Growth doesn't require more resources. If your barber finds a way to cut your hair 10% faster, that shows up in GDP growth. Increasing efficiency leads to increased GDP.
Yes, of course. The quantity and quality of the output can certainly grow for a given resource input -- obviously with physical limits but we haven't generally reached those. It's possible to breed higher-yielding crops, design more efficient industrial processes, to craft with less waste, etc, and these have all been vastly improved over the past few centuries.
The problem is that these industries have also been growing by increasing resource consumption along with output, to a level that isn't sustainable (even without more growth) beyond this century or so.
You must think in terms of ratios, or not think at all. Debt-to-GDP ratio is a good measure that takes into an account most other variables like changes in population, productivity etc.