Yes, I think.
Say you install the headlight relays onto the rad support or the drivers fender, you can cut the high and low beam wires from the dimmer and use those to control the relays. Connect the rest of the wires that go to the headlights to the relay output terminal. The relay input terminal is connected to the power source from your alternator or, preferably, from a power junction block that is fed from the alternator via a larger gauge wire. You can also use that junction block to power relays for fans or other accessories. I have fusible links connecting the headlight wires to the relay just in case of a short to ground. You could use breakers if you wanted to, but some kind of wiring protection is needed.

I have one junction block on the firewall and one on the rad support fed with #8 wires from the alternator. The rad support junction has two wires going to two 30 amp breakers and on to the two cooling fan solenoids I have another wire going to a 20 amp breaker and on to the horn solenoid. I have two fusible links going to the high and low headlight relays. I also have another fusible link going somewhere else but forget where, and a couple of spare fusible links dead headed under the harness just in case they're needed.
I made a rough schematic , not as rough as the attached drawing, to help my fading memory, but it's away in the files.

It's really quite simple once you picture it in your head.

Hope that didn't confuse you with too much rambling.