for x:= 0  to length(name) do
    begin
    if name[x] = ' ' then
    FirstName := copy(name, 0 ,x- 1 );
    MiddleName := copy(name,x+ 1 ,length(name) - x);
    end;

if name[x] = ' ' then

char* s = "Ivanov Ivan";
int i;
for( i= 0 ; s[i]!= 0  && s[i]!=' '; i++);

вот здесь strcpy или вроде того

AnsiString ResultString = "Юрий Иванович";
char * text = ResultString.c_str();
int i= 0 ;
while (text[i]!=' ')
{
    i++;
}
AnsiString FirstName = ResultString.SubString( 0 ,i);
AnsiString MiddleName = ResultString.SubString(i+ 1 ,ResultString.Length());
ShowMessage("Имя: " + Trim(FirstName));
ShowMessage("Отчество: " + Trim(MiddleName));

AnsiString *symbol = new AnsiString(" ");
AnsiString FirstName = ResultString.SubString( 0 ,ResultString.Pos(*symbol));
AnsiString MiddleName = ResultString.SubString(ResultString.Pos(*symbol) +  1 ,ResultString.Length());

  AnsiString name = "Юрий Иванович"; 
  AnsiString FirstName = "", MiddleName = "";
  for (int i =  1  ; i <= str.Length(); i++)
   {
        if (name[i] == ' ')
         {
            FirstName = name.SubString( 1 ,i- 1 );
            MiddleName = name.SubString(i+ 1 ,str.Length());           
         }
   }

if (name[i] == ' ')

if (name[i] == " ")