Apologies for the block of text. After doing some quick research, out of the current goalies-including recent retirees-I'd say any of these are possible:
Rask 40 BOS--most goalie games played and wins, entire career in BOS
Miller 30 BUF--most goalie games played and wins, majority of career in BUF
Ward 30 CAR--most goalie games played and wins, Conn Smythe, entire career in CAR minus 33 games in CHI
Crawford 50 CHI--3rd most goalie games played and wins, 2 Cups, entire career in CHI (no, the preseason in NJ doesn't count)
Quick 32 LA--most goalie games played and wins, 2 Cups, Conn Smythe, entire career in LA
Carey Price 31 MTL--most goalie games played and wins, entire career in MTL
Anderson 41 OTT--most goalie games played and wins, majority of career in OTT
Fleury 29 PIT--most goalie games played and wins, 3 Cups, 13 seasons in PIT
Vasilevskiy 88 TB--most goalie games played and wins, 2 Cups and counting
Luongo 1 VAN--2nd most goalie games played, 1st in wins, Honor McLean as well--1st GP, 2nd wins
Fleury 29 VGK--most goalie games played and wins, face of the franchise for 4 years
Holtby 70 WSH--2nd most goalie games played and wins (both behind Kolzig), Cup winner, majority of career in WSH
Hellebuyck 37 WPG--most goalie games played and wins--re-retire number 37 in the Atlanta/Winnipeg franchise for Dan Snyder
If I had to bet money on which of the above get their numbers retired at some point I'd bet on Rask, Ward, Crawford, Quick, Vasi.