Can you feed multiple outlets to one GFCI outlet near the sink?

code states that if a water source such as a sink is within 6 feet of a receptacle, that recetacle (s), must be protected by a GFCI receptacle.

I believe the actual distance is 5 feet. Please forgive me if I'm wrong. But the NEC also requires that ANY counter top receptacles in a kitchen and receptacles ANYWHERE in a bathroom must be GFCI protected.

More directly to your question, ordinary receptacles can be protected from a GFCI receptacle if properly wired. They are designed to do that. It is a way to save money. You may also consider a GFCI breaker if you have many receptacles to protect. I was told once that there is a limit of 3 "piggy backed" receptacles per GFCI but I have never seen that in the NEC.