Yes, it is possible to have such a constructor, but it's impossible to call it. All the template parameters of a templated constructor must be deduced from the parameter list or have a default value. In Your example you can't instantiate the class.
[temp.mem]
[ Note: Because the explicit template argument list follows the function template name,
and because conversion member function templates and constructor member function templates are called
without using a function name, there is no way to provide an explicit template argument list for these
function templates. —end note ]
与恶龙缠斗过久,自身亦成为恶龙;凝视深渊过久,深渊将回以凝视…