Sure. I've got a two-handed battlemage who use conjured creatures and illusions as distractions, alteration as main defense, I also use poisons. I perked Restoration for Vampire Necromage because it extends my Conjuration durations and Alteration Armor durations.
I picked a Nord for RP purposes, but I would pick Altmer due to the 50 Magicka buff; Breton is useless in the long run because of Alteration perks and Lord Stone.
Light armor side would save you perks, but I've always liked the look of a flaming Daedric Armor on a huge Altmer. Heavy side have a perk that would prevent you from getting shouted away by Draugr... But honestly, a functional Spellsword should be quick on his/her feet.
On the order of which to perk first... I would just go along with it for now and see which perks fit your current situation. Get a companion, and If you're careful, you won't get hit much because your conjured creatures and companion will be your vanguards as you quickly destroy your enemies when they're busy.
Also, get Unrelenting Force as soon as possible. Don't worry about the Dragons, your conjured creatures and companions can keep them busy enough while you take care of them.
PS: I personally like going two-handed for this built because you can blitz your distracted enemies more efficiently with two-handed.