Will "min to max" uniform real distribution produce Inf,-Inf, or NaN?

If I were to produce floating point values in the following way:

template <typename T>
T RandomFromRange(T low, T high){
    std::random_device random_device;
    std::mt19937 engine{random_device()};
    std::uniform_real_distribution<T> dist(low, high);
    return dist(engine);
}

template <typename T>
T GetRandom(){
    return RandomFromRange
    (std::numeric_limits<T>::min(),std::numeric_limits<T>::max());
}

//produce floating point values:
auto num1 = GetRandom<float>();
auto num2 = GetRandom<float>();
auto num3 = GetRandom<float>();
//...

Is it possible that I will ever get back a NaN, Inf, or -Inf?