No. Time dimension is different. Geometric algebra usually deals with space only, leaving time alone. But there is also its spacetime version: spacetime algebra (

Spacetime model). But the mathematical tool of differential forms is much more general and flexible. Differential forms are needed for geometrical understanding not only of electromagnetism, but also of gravitation, where geometrical algebra is essentially useless. It is via differential forms that we learn about vectors, bivectors, vector products etc.

But there are also some fans of quaternions, for sure. They will advocate quaternions instead of geometric algebra, and claim that the "true Maxwell equations" must be written using quaternions!