No, identical twins are not connected via quantum entanglement. Quantum entanglement is a phenomenon observed in the field of quantum physics, where two or more particles become correlated in such a way that the state of one particle is dependent on the state of another, regardless of the distance between them. This phenomenon is not applicable to macroscopic objects like human beings, including identical twins.
Identical twins are formed when a single fertilized egg, or zygote, splits into two separate embryos. They share the same genetic material, which makes them look very similar or nearly identical. However, their physical and mental experiences are independent of each other, and there is no known mechanism by which they would be connected via quantum entanglement or any other supernatural or mysterious force. Their similarities are primarily due to their shared genetic makeup and shared environment during their early development.