DistributionChart[{RandomReal[{0, 1.5}, 1000],
  RandomReal[{0, 0.01}, 1000]}]

SeedRandom[1]
{data1, data2} = {RandomReal[{0, 1.5}, 1000], RandomReal[{0, 0.01}, 1000]};

DistributionChart[{data1, Rescale[data2, MinMax @ data2, MinMax @ data1]},
  FrameTicks -> {{Automatic,
     Charting`FindTicks[MinMax @ data1, MinMax @ data2][## & @@ MinMax[data1]]},
    {None, None}}]

tooltip2 = Cases[DistributionChart[{data2}], Tooltip[_, t_] :> t, All][[1]];
DistributionChart[{data1,
    Tooltip[Rescale[data2, MinMax @ data2, MinMax @ data1], tooltip2]},
  FrameTicks -> {{Automatic,
      Charting`FindTicks[ MinMax@data1, MinMax@data2][## & @@ MinMax[data1]]},
    {None, None}}]

DistributionChart[{data1,data2}, ScalingFunctions -> "Log"]