Read a common digital output from multiple digital inputs
Yes, in principle you can.   In digital circuits, people tend to call this 'fan-out' - single output to multiple parallel inputs.

If general, when you're trying to work out how big 'N' can be, you need to consider both the static case - how much will the DC load of all the inputs drag down/up the output - and the dynamic case - how fast can the output driver charge/discharge the parallel capacitance of all the inputs.  In fast CMOS systems, the latter tends to be the main concern.