No. There is an okula in between. You can never have an object in the nominative form AND have the object far from the verb.
"Kitaplar taşıdım okula" or "Okula kitaplar taşıdım" would normally work. But nowadays, we try and avoid using indefinite objects in plural (unless it's a song or a poetry). We'd go for singular: Okula kitap taşıdım. (Which can also mean I carried a book to school, but context makes it clear. If in need, you can use quantifiers like: birkaç kitap (some books), bir sürü kitap (a lot of books), and so on.)