Oh yes! Did you not even accidentally do any links at all? One of the "tutorial" messages points it out too...
Yup, just like that the complete path moved in the end is chained together by either suit or card value. After each card placement, the character does a check if it can move. And if it did move, it will repeat that until it can't anymore. And you get an increasing amount of points each consecutive step. So on first step on lets say 6 you get 6 x 1 points and if there was another 6 connected to that, you'd get 6 x 2 and so on. And multiplied by extra ten if the bonus item is on top of the card too.