Yes. There is no rule not allowing a team to win back-to-back championships. If a team has the skill to pull of consecutive Stanley Cup wins.
When an NHL team wins the championship, the award that is presented to them is known as the Stanley Cup.
Canadiens
The Stanley Cup.
The Stanley Cup! "All hail Lord Stanley!"
The Montreal Canadians
The Toronto Arenas
The Montreal Canadiens
Boston
Philidelphia
None
The names of players, coaches, and team staff from the winning team of the NHL Stanley Cup Finals are engraved on the Stanley Cup.
The team that wins the Stanley Cup that season.