This question can be answered with a definite "No", provided that the sink is cleaned regularly and exposed to typical domestic wear and tear. Please follow the advice below regarding using and caring for your stainless steel sink:
Remove dirt and limescale deposits on a regular basis.
Do not use cleaning agents containing chlorine (generally sodium hypochlorite) or hydrochloric acid.
If you use steel wool for cleaning, it must be made of non-rusting stainless steel.
Avoid lengthy contact with salty liquids.
Avoid direct or prolonged contact with rusting iron objects (cast-iron pans or iron filings).
Do not use your sink for dyeing or bleaching fabric or hair.