Yes. There are a lot of lower leagues. AHL directly feeds to the NHL, ECHL (the league I used to work for) feeds into the AHL, occasionally you'll get a jump from the ECHL to the NHL. Usually goalies.

There's also usually a lot of shifting of the minor leagues, when I worked for the ECHL it was the UHL when I started, then the IHL and then the team merged into the ECHL.

Every NHL team has an AHL affiliate and probably an ECHL affiliate. The Red Wings AHL affiliate is the Grand Rapids Griffins. Their ECHL affiliate is the Toledo Walleye.