In general, yes. For stainless steels, there are basically 4 types commercially avalailable.
1) 300 series, also called austenitic stainless. Most common you will find or run into. These are the best for corrosion. The common numbers you might see are 304, 304L, 316, 308, 303, 302. These all have about 17-18% Cr and also have about 6-8% Ni. The Ni makes them non-magnetic. Common used for silverware and cooking or food prep. Cannot be heat treated to make stronger, but can be work hardened to bring strength up. Used mostly for superior corrosion resistance.
2) Martensitic stainless. These are 10-12% Cr and not much else for alloying. Commonly used for exhaust systems on factory systems, and other less harsh environments. These are magnetic and can also be heat treated to make stronger. Such as cutting blades. Typical numbers you might find are 410, 440.
3) Ferritic stainless. Second most common commercially available, they are also magnetic. More likely to find around marine or other wet environments where they don't want as much cost as the 300 series. Not as good corrosion resistance compared to 300 series, but better than 400 series. Typical numbers are 409 and 430
4) Precipitation Hardening (PH) stainless. These are used where high strength is needed. Magnetic also, but pretty good corrosion resistance. Since they require heat treatment and precipitation hardening for max strength you need to design around this. Most costly to buy and process. They have 15-18% Cr and 4-5% Ni as main alloy elements. Typical numbers are 17-4PH and 15-5PH.