Isn't pain the thing you feel and suffering what you do afterwards or something? I.e. once I hit my toe I cannot avoid the pain but I don't necessarily need to

Isn't pain the thing you feel and suffering what you do afterwards or something? I.e. once I hit my toe I cannot avoid the pain but I don't necessarily need to go around suffering all day? I.e. sometimes when I fry something hot oil hits my hands. The pain is immediate but I laugh at it instead of going around suffering under it. Or am I mixing up some words? (English isn't my first language.)