Yes it is possible. The question to ask however is "how".
I know of several who operate at that level.
Here is what is needed in order to get there.
First you need to have a significant edge
Second you would have a set of system rules that keep you out of the market when no signal is present
Third, you would need to operate with precision (execution skills)
Fourth you would need to trade with discipline taking only your signals.
Fifth, you would need to have the skill to recognize when conditions call for trading up (size), and the courage to hold through some pain.
Now, I know this is correct (accurate) and that it describes what you need to get to that level. Can you get there? Can you assemble the tools, and control your emotions in such a way as to make that your reality?
If you had $10,000,000 in buying power it would be quite possible.... $1,000,000 in BP, highly unlikely. Of course with $10MM in BP you would also have some bad losses....
Day trading, and trading/investing in general, is not a consistent income generator. You will never find someone that makes $3500/day, day in day out. They will make $10000 one day lose $3000 the next, have up months and down months. It would be dangerous to quanify how much you make on average per day and expect it to be consistent, it is not.