Error: Arduino Mega 2560 - VGA OUTPUT

hmmm...
Are you shure that the Arduino Mega cant handle it
I want to use 1 Arduino for that VGA, for my LEDs & Buttons and for my DCF 77 time modul. I thought if I buy the big on he can handle this.

Are you shure that the Arduino Mega cant handle it

That is not what you asked. You asked:-

Can the arduino handle two different codes to the same time?

Without more than one core the processor can only do one thing at once. However if you do the code rapadly one after the other it will look like to you that two things are happening at the same time.