Possible to use break for outer loop?

One option is to use a condition flag. You could then either break in the outer loop as well, or just use it as an extra condition within the for loops:

bool keepGoing = true;

for (int col = 0; col < 8 && keepGoing; col++)
{
    for (int row = 0; row < 8 && keepGoing; row++)
    {
        if (something)
        {
             // Do whatever
             keepGoing = false;
        }
    }
}

In Java, you can specify a label to break to though. (I didn’t see that this question was tagged Java as well as C#.)

outerLoop:
for (...)
{
    for (...)
    {
        if (...)
        {
            break outerLoop;
        }
    }
}

EDIT: As noted in comments, in C#, you could use a label and goto:

for (...)
{
    for (...)
    {
        if (...)
        {
            goto endOfLoop;
        }
    }
}
endOfLoop:
// Other code

I’d really recommend that you don’t take either of these approaches though.

In both languages, it would usually be best to simply turn both loops into a single method – then you can just return from the method:

public void doSomethingToFirstOccurrence()
{
    for (...)
    {
        for (...)
        {
            if (...)
            {
                return;
            }
        }
    }
}