Did non-Soviet Warsaw Pact members ever give serious consideration to developing or acquiring independent nuclear arsenals (like France and the UK in NATO)?

My understanding is that the USSR exerted much tighter military and political control of the Warsaw Pact than the US did of NATO, as indicated by the former's armed interventions in Czechoslovakia and Hungary to keep them in line. But there were still moments of tensions within the Warsaw Pact, with some members taking lines more distant from or hostile towards the Soviet Union. Did the non-Soviet members ever use this latitude to pursue their own nuclear weapons?