No, golden sun is a more traditional turn based JRPG, unlike Shining Force which is a Tactical RPG. A lot of the same people who worked on Shining Force went on to form Camelot, the company that made Golden Sun.
Between Shining Force to Golden Sun I can see that the aesthetics of the overworld UI's first layer (very small illustrated buttons arranged as an overlay near the bottom of the screen) and the perspective of the battle system when an attack is performed (3/4 over the shoulder) are quite clear carry-throughs. The font and box graphics are also similar - thin white text on a deep blue. They even both ubiquitously have multi-headed dragons as the final boss!
The creators of these games had a very particular, very effective experiential vision of a fantasy adventure and I'm grateful I got to experience it as part of my childhood and even got to see it when looking further back in time. Even though some of the Djinn were very frustrating to catch sometimes!