Jobkeeper for Day Traders, page-2

I am not completely across the Jobkeeper rules (so take my response with a grain of salt), but my understanding is, loosely speaking, that your turnover for GST purposes has to decline by 30% and for the purposes of calculating your turnover, input taxed supplies (which includes the buying and selling of shares) are not included. Therefore, if the sale of shares is excluded from your turnover in the comparison period (e.g. March 2019) then it is quite pssible your GST turnover is nil and your turnover for the current period would also likely be nil, in which case your turnover has not declined. If the day trader had some other form of GST turnover they may possibly be eligible.

In summary: I think the simple answer is no, day traders are not eligible, but It may be worthwhile having a quick chat to your accountant.