Absolutely not. Europe would remain the semi-barbarian ass end of Asia. The long-forgotten Greco-Roman era it's only moment of glory.
With the exception of a comparatively tiny part that was preserved in Ireland practically all of our knowledge of Ancient Greek or Roman thought comes from either Spain or the Middle East via Islamic scholars. The 12thc flourishing of western Scholasticism is largely a response to the European monk's rediscovery of Plato and Aristotle from Spain and Jerusalem, just as the Renaissance was stimulated by Byzantine copies of Islamic copies of Aristarchus and Ptolemy, looted from Constantinople by the 4th Crusade.
And Islam did more than just preserve, she improved and invented. Algebra and zero, (zero actually Indian, but first reliably symbolized in arabic). Advances in engineering, warfare, medicine, optics, the works of Averroe, the poetry of Omar Khayyam and the Chronicle of Ibn Battuta among many more, the list is endless.
Chivalry itself, the very idea of fair play is largely a response to the civilized and merciful style of warfare the
cannibalistic First Crusaders ran into in Palestine, which so shamed them they adopted it as their own.
All this came from Islam's central precept, which places noone between a man and his god, and in allowing him this freedom to worship as he will encourages free action and inquiry in all other parts of his life as well. A stark contrast to the hidebound priestly class so beloved of all Christianity, whose corrupt and petrified hand held Europe in a stultified straitjacket of tradition and superstition for well over a thousand years.