No. The idea was that Sonic 2 would be developed by Americans under supervision of developers from Japan so that STI could learn from them.
When Yuji Naka was rehired by Sega and one of his conditions was that Americans were forbidden from working on Sonic 3. Sonic 3 was still developed in the US, though.
okay ... so, would this be more accurate?
All the console Sonic games (besides racing ones) and which teams made them:
Sonic Team (Japan)
Sonic the Hedgehog (June 1991)
Sonic CD (Sept. 1993)
Sonic Adventure (Dec. 1998)
Sonic the Hedgehog (Nov. 2006)
Sonic Unleashed (Nov. 2008)
Sonic Generations (Nov. 2011)
???? (2015)
Sonic Team (U.S.)
Sonic the Hedgehog 2 (Nov. 1992)
Sonic the Hedgehog 3 (Feb. 1994)
Sonic & Knuckles (Oct. 1994)
Sega Technical Institute
Sonic Spinball (Nov. 1993)
Traveler's Tales
Sonic 3D Blast (Nov. 1996)
"Sonic Team USA"
Sonic Adventure 2 (June 2001)
Sonic Heroes (Dec. 2003)
Shadow the Hedgehog (Nov. 2005)
Sonic Team (storybook team)
Sonic and the Secret Rings (Feb. 2007)
Sonic and the Black Knight (March 2009)
Sonic Colors (Nov. 2010)
Sonic Lost World (Nov. 2013)
Dimps
Sonic the Hedgehog 4 Episode I (Oct. 2010)
Sonic the Hedgehog 4 Episode II (May 2012)
Big Red Button Entertainment
Sonic Boom (Nov. 2014)