Both methods are supported. The 1063 Product Manual shows how to connect the 8-wire stepper motor in series (although I will admit that it doesn't explicitly say that it is being connected in series). The current consumed in either configuration might be limited by the 1063. This may result in some rough movements, or no movement at all, in one configuration or the other.
Some considerations to consider:
1. In parallel, current consumption will be higher, inductance will be lower. Motor will be be able to run at higher speeds but at lower torque.
2. In series, current consumption will be lower, inductance will be higher (larger voltage spikes when turning on and off the motor). The motor will have high torque but lower speed.