不行,因为because(of)表示的是一种直接的因果关系,而你能否成功与前任的成功只能说是一种类比的关系,而非紧密的因果关系.
这样讲最好：
Based on the success achieved by my predecessors,i m full convinced that the 2 years of education in XXX University equiped me with strengthened research capacity and will pave the way for my future success in the career.