Nope.
Dark has Umbreon and Weavile.
Dragon has Shelgon and Druddigon.
Electric has Mareep and Stunfisk.
Fighting has Hitmonchan, Throh and Sawk.
Fire has Flareon, Typhlosion, Darmanitan, Heatmor and Tepig.
Flying has Doduo, Hoothoot, Mantine and lots of crappy bugs.
Ghost has Drifloon, who's also Flying.
Grass has Paras(ect), Hoppip and Chikorita.
Ground and Ice have the Swinub family. Then there's Stunfisk and Weavile again. And Jynx.
Normal has lots of crap, including Dunsparce, Spinda, Kecleon, Lickilicky and Herdier.
Poison has Venonat, Ariados and Dustox.
Psychic also has Jynx, and Natu/Xatu on top of that. And Darmanitan, to an extent.
Rock has Kabuto, who's also Water, and Probopass, who's also Steel.
And finally, Bug just sucks in general.