Thats what I do. I use the syringe with a needle draw it up. Take a new syringe with needle and switch the needle over. Now every time I have a clean syringe with a new needle. But use the same one to draw. Saves me a lot of wasted needles or using ones dull by stopper. I’ve used the same draw needles for months.
Honestly I switch out my draw pin with every new vial. The tips becomes blunt after so many uses. I do not go larger than a 20g draw pin as the 18 can damage the rubber.
Most would argue that the pins are cheap enough and that there is a risk of bacteria.