I'll answer that from two different perspectives.
Firstly, any Arowana that is going to be kept long term must be kept in a tank that has a secure lid and in that sense is covered. Weigh it down, tie it down, etc. Whatever you need to do to ensure that it can't pop the lid off will be important. You have purchased a fish that as an adult can launch itself 6' vertically and all of that power can easily rip tank lids off. I lost one in this way years ago and still regret not having been better prepared. In that manner every Arowana tank must be 'covered'.
Secondly, I would say that a baby Arowana tank is not really a display tank as you appear to have it set up. It's not that it's wrong to display but it's not ideal for the fingerling you've bought. It might be as easy as turning the tank 90* so that the end wall of the tank faces the door and then just cover the end wall. If you give the fish the chance to acclimate to the idea that you're not just in the room but that you've been there for a while and you don't pose a threat you'll have a more relaxed Arowana. Conversely if you occasionally pop that door open and trot in you're going to have that fish looking for a way out of the tank and associating you w/ his escape problem rather than associating you w/ food or some other positive aspect.
I suppose you could cover the tank completely but it shouldn't be necessary unless you have some seriously crazy stuff happening in that same room often. Kids throwing stuff around, anybody hammering a vacuum cleaner into the tank stand, a weird vibration from a pump or other aquarium accessory, the door popping open quickly, etc. All of that stuff should be eliminated where possible.