Things that are coupled are linked or joined together. Coupled train cars are physically attached to each other.
A couple is two people who are dating or married, so it makes sense that coupled things or people are connected by some sort of link — and it isn't always love. The coupled efforts of several people can result in a spectacular sand castle, and coupled subway cars make up an entire train, providing room for all the riders. Couple comes from the Old French word cople, "married couple," from the Latin copula, "tie" or "connection."