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Yes I guess that will be fine...
You can even drop in some chunks of old concrete in it, or bricks or stones if you can find them to support the pier (and so you will need less fresh mixture for the rest of the job). The concrete sold in packs at Bunnings to be used for fencing etc could be very fast-setting (couple of minutes only, you just put the mix in your hole, then the pier goes in then you you pour water and thats it, after 5-10 minutes it is set enough so you can remove the support. Of course, the full grip will be achieved after couple of days and couple of buckets of water. Wet soil will also help a lot.
It may be a good idea also to weld couple of bits of steel rods and to drill couple of holes on the part of the pier that goes in the concrete, so that concrete grabs the whole structure more firmly.
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