The distributor cap and rotor can only fit one way onto the distributor. If the distributor remained in the engine, there is no problem. If you remove the distributor from the engine and do not mark its position, then you crank the engine until #1 piston is at Top Dead Center, then install the the distributor. If you mark the position of the distributor (draw a line on the distributor and on the engine) and reinstall the distributor with these marks, you are good do go if you haven’t cranked the engine.
I used to watch the mechanic install new ignition points in my dad’s 1954 Buick back in the late 1950s. He would mark the distributor and engine, pull the distributor, install new breaker points and condenser, put the distributor on a Sun machine and set the dwell, then reinstall the distributor on the car. He would then hook up the timing light and set the timing.
You aren’t at any risk of frying your ignition coil.