Yes.
1) 1904 Boston Americans (now Red Sox): Cy Young threw a perfect game and Jesse Tannehill threw a no-hitter.
2) 1908 Cleveland Naps (now Indians): Addie Joss threw a perfect game and Bob Rhoads threw a no-hitter.
3) 2010 Philadelphia Phillies: Roy Halladay threw both a perfect game and no-hitter. The no-hitter came in the playoffs.
Los Angeles Angels
Rangers, twins
Chicago Cubs
There are 162 games in a MLB regular season. Add that to as many as 36 exhibition games and a possible 19 post season games and MLB team could play as many as 217 games in a year.
The MLB record for fewest wins by a team in a season was set by the 1899 Cleveland Spiders. They won 20 games that season and lost 134. The 134 losses is also an MLB record for most losses by a team in a season.
ny mets
Several teams have been "no-hit" twice in one season, but only the Brooklyn Dodgers suffered three no-hitters in one year, 1907. However, two of the no-hitters were seven inning games.
Los Angeles Angels
New York Mets- 32/ 1-Hitters
The Washington Nationals
No, the fewest losses in a season for an MLB team is 36 by the 1906 Chicago Cubs (record was 116-36).
Seattle Mariners
Giants
Rangers, twins
211
162 by each team.
The Philadelphia Athletics won 102 games that season, more than any other MLB team.