Can you play as a spellsword like in other games?

I'm playing Morrowind for the first time, I saw people talking about getting spellsword and I wanted to do a "canonical nerevar" so I went with dark elf, but honestly it bothered me a lot that you have to choose between casting magic or hitting, and the idea of hitting and using magic seems impossible to begin with, I would like to know if this was really how the class was supposed to be played.