If I had been a distinction student and all I ever wanted to be was a game programmer I would have got a chance to be one but I was too negative and distracted
obviously I thought other things were important
in the words of one notable person "you become what you think about most of the time"
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I also thought engineering would be just as wonderful or appreciated or satisfying as game programming but I don't get the pleasure to create something that makes people happy at the level of making a video game. I can see now how foolish I am I should be happy to create anything. But software is more easier to distribute than hardware and you can stretch an idea very far to create what others do not bother to create. You can create something all on your own with software you do not need any money for manufacturing. You can create things for yourself you can't do that with hardware
I also thought I could make a life out of engineering but I don't know now I think I have to have atleast one business
Perhaps parents are dream killers they either support it by cheerfully giving money or call it unrealistic or childish
Educate yourself and them with information about the video game engineering industry. Show them the educational and technical requirements needed for such a career. Show them the possible salaries that can be earned. Make sure whatever decision you make is God's will and for His glory!