There isn't enough current from the power source to connect them in parallel, but there is enough voltage hence why they are connected in series. It seems it isn't as trivial (for a novice) as I first thought.You could. But to do it safely it would be better to use a step-down transformer (to provide mains isolation) with a 4.5W resistive load. To get 4.5W from the LED bulbs they could simply be connected in parallel: not series.