Can I still craft my own spells?
No there is not. It's possible to create your own potions with different effects, and to enchant items. But spell crafting is not possible within Skyrim.
There is no way in Skyrim to craft your own spells. Learning spells is strictly from spellbooks.
They probably removed spellmaking because of the obvious trouble someone could get into making 9 different feather spells, or a fireball that has an area of 50 feet.