Yes—certain metals resist corrosion so strongly that chemists call them noble metals. Gold, platinum, and related platinum-group metals (such as palladium) have a low thermodynamic drive to oxidize, so they often stay metallic in ordinary air and moisture rather than forming flaky rust.
That does not mean they are immune in every chemical setting. Even gold and platinum can dissolve in aggressive mixtures such as aqua regia, and everyday “corrosion-resistant” materials like stainless steel or titanium usually rely on a thin passive oxide film that blocks further attack rather than true chemical inertness.
In short, “non-corrosive” normally means extremely corrosion-resistant under normal conditions—not absolutely unreactive everywhere. (PMC review on metallic corrosion resistance)