Yes you can, Copper to steel & Copper to Brass or brass to steel is no problem you can use copper ground wire from romex or just buy some bare copper wire. I have also used 5% brazing alloy when tig welding to attach copper to 1018 cold rolled steel.
I am currently getting ready to make some belt buckles out of copper and brass sheet material using copper , brass and silver wire to tig with.
PowerTig 200DX
Supercut 50P
PowerTig Micro 185 SOLD GREAT MACHINE
Millermatic 200
Miller Thunderbolt
Jet 1340 Lathe
Jet 20" Drill Press
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Forward 12,000 lb 4 Post Lift