Do friendships have love languages?

Yes. A friend who shows care through acts (help moving, fixing things) has acts-of-service language. A friend who calls to check in has quality-time or words-of-affirmation language. Understanding your friends' language helps you show care in ways they feel.

How do I discover a friend's language?

Notice what they complain they're missing: "I never see you" (quality time), "You never ask how I'm doing" (words), "You always expect me to help but never offer" (acts), "You forgot my birthday" (gifts), "You never hug me" (touch). Their complaints reveal their unmet language.

Should I match a friend's language or express my own?

Both. Express care in your natural language (if words are natural for you, give compliments). But also learn their language (if they respond to acts, help them). The best friends balance giving what comes naturally with meeting others where they are.