Highly doubt it. Kashima
stated in 2001 that he did the "special stage" theme. Both he and Sawada only mentioned they did one song when asked, so unless they are lying/forgetting about their other contributions, neither of them did Angel Island. It could be Senoue's, since he arranged it for Brawl, but it's not in his usual style and he said before that he only did
"only 2 or 3 songs for Sonic 3." and "Actually, the songs for bonus stage are mine."
So again, unless they are lying or forgetting, Angel Island and Sky Sanctuary were done by another member of Sega. Maeda and Ogawa are two other Sega members that we know did music for the game, but we don't know which tracks in particular. It could also be composed by somebody who was outside of Sega, just like how Miyoko Takaoka did the Marble Garden themes, but wasn't listed in the credits directly. (just as "Sound Special Thanks" given to CUBE, the company she worked for at the time).