Not perhaps but undoubtedly. He's been the busiest goalie in the NHL over the last five seasons: https://www.quanthockey.com/nhl/seasons/last-5-nhl-seasons-goalies-stats.html (the next busiest has played 26 fewer games)
FWIW, he's still performing in the top 10 this season (https://moneypuck.com/goalies.htm) despite the Jets being a middling team in terms of puck possession (https://moneypuck.com/teams.htm). Individually, his stats have suffered and he's struggled often, but I think it speaks to broader issues that continues to plague this team: poor defensive zone play, questionable coverage, shot attempts allowed (high danger chances), and puck movement/clearing in the defensive zone. Plus the continue special teams issues, particularly on the PK.
The Jets' identity as a 200 ft. team, save for the 2017-18 season, has been mostly non-existent since Hellebuyck assumed the role of starting netminder. He's fared considerably well, though.
Imagine if the organization decided to address those glaring issues, instead of maintaining the status quo with a shoddy system and inept coaching.