Quick Sort C++ Implementation
I think this is fairly impressive. I don't know if I would have done this in-place if I sat down to do this today. That said, I do see a few things you could improve.
Naming
I think your variable names could use some work. Why did you choose Wall? That name just doesn't strike me as useful in this context.
I notice that you're mixing capitals and lowercase letters for the first letter of your variables. Typically variables start with a lowercase letter and type names start with an uppercase letter. You don't necessarily have to follow that convention, but you should be consistent.
C++
The only line of code in this that differentiates it from C is the print statement, which I assume is just for debugging. If you #include &lt;utility&gt; you get some very useful functions. (You'll need to #include &lt;algorithm&gt; if you're using C++ that pre-dates C++11.) For example, std::swap() will swap 2 values for you without the need to write out 4 lines of code:
std::swap(Array[Wall], Array[index]);

does the same thing as:
int Temp = 0;   //Variable used for swaping array members
...
            Temp = Array[Wall];
            Array[Wall] = Array[Index];
            Array[Index] = Temp;

Also, you don't need std::endl where you've used it. That will flush the buffer which will slow things down. You can simply use:
std::cout &lt;&lt; Wall &lt;&lt; &quot;\n&quot;;

And if you're really paranoid, you can add a single call to:
std::cout &lt;&lt; std::endl;

after QuickSort returns;
Recursion
As you found, when you have a deeply recursive function, it can eventually eat up the entire stack if you're not careful. Luckily, you can eliminate recursion in many cases. I modified yours to remove the recursion by adding a simple std::queue and putting the ranges in the queue instead of calling back into the function. First, I made a simple struct to hold a range of indexes to sort:
struct Range {
    int start;
    int end;
    
    Range(int newStart, int newEnd) : start(newStart), end(newEnd) {}
};

Then I updated the function to use a std::queue and the new Range type:
void QuickSort(int* array, int start, int end)
{
    std::queue&lt;Range&gt;  queue;
    queue.push(Range(start, end));
    while(!queue.empty())
    {
        Range next    = queue.front();
        queue.pop();
        
        int start = next.start;
        int end = next.end;
        int Wall = start;
        if (start &lt; end)
        {
            for (int Index = start; Index &lt; end; Index++)
            {
                if (array[Index] &lt;= array[end])
                {
                    std::swap(array[Wall], array[Index]);
                    Wall++;
                }
            }
            std::swap(array[end], array[Wall]);
            queue.push(Range(start, --Wall));
            queue.push(Range(++Wall, end));
        }
    }
}

I kept most of your code, but used std::swap and removed the recursion.
To be honest, I didn't think the performance of your version was bad at all. It seemed to work plenty fast for me.