Can we execute multiple catch blocks in C#?

No. Once any exception is occurred it executes specific exception catch block and the control comes out.

static void Main() 
{
    int n;
    try 
    {
        // Do not initialize this variable here.
        n = 123;
    }
    catch
    {
    }
    // Error: Use of unassigned local variable 'n'.
    Console.Write(n);
}