Yes, I had a '79 and was running 700x32 Panaracer Paselas on it. I had no issues. Mine had a sloping fork crown and many of them don't, so I don't know if that will affect you.
I miss that bike, it was a really excellent ride.
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1964 JRJ (Bob Jackson), 1973 Wes Mason, 1974 Raleigh Gran Sport, 1986 Schwinn High Sierra, 2000ish Colian (Colin Laing), 2011 Dick Chafe, 2013 Velo Orange Pass Hunter