In a nutshell - no. First, the solenoid "I" terminal is only hot when cranking. The factory wiring takes battery power, through the key switch, through the PINK wire to the firewall. Then it splits with one wire to the "I" solenoid terminal, and the other wire to the coil.
This way (originally) the coil sees resisted power all the time, except when cranking, where full battery power flows through the solenoid and out the "I" terminal to the coil, for better spark during cranking when the voltage is down due to starter load. The only reason you see voltage on the BROWN wire at the "I" terminal the rest of the time is because it's feeding from the key switch through the PINK wire. So, the source for running distributor power is from the key switch.
You have two choices. Run a new wire from the key switch to the distributor (bypassing and removing the original wires). Or, run a fresh wire from the battery through a relay direct to the distributor, and switching the relay with any of the original wiring.
The first method is simple and straight-forward. The second method is generally preferred, as it removes load from the 40 year-old switch, and avoids doing any wiring under the dash. The choice is yours.
David
PS: Examine your wiring, as it's common for POs to add accessories to this circuit, and yes, they would be affected by the wiring change.