Have definitely seen teams go nearly entire seasons on PDO benders, which I guess is why that term was coined. I mean, if the Dallas Stars and the Montreal Canadiens can do it back to back for an entire playoffs, why not during the regular season?
NYI is a funny team because analytics has hated them for two straight years but they won anyway, so maybe there's just something about that team that defies public analytics.
I could actually buy a team letting up a bunch of shots and still doing well, because some teams will let you have the perimeter and shoot there repeatedly, and that could lead to inflated shots against, but not quality shots. I don't think there's a team in the league that can outperform 30th in shots for vs 8th in goals on shooting talent alone, though, so I'd imagine there's gotta be some significant luck baked into that.
Edit: NYI #2 in PDO in the league at 1.038 for the last month. Natural Stat Trick:
Team Season Totals - Natural Stat Trick
It's not some foolproof stat you can use to declaratively state a team is lucky, but as a rule of thumb anything significantly over 1 and you're asking yourself if the team is elite or very lucky, or some combination of both. PDO is very simply shot % + save %.
Edit 2: #1 in all situations by a massive margin. Special teams and ES luck.
Team Season Totals - Natural Stat Trick