With the speed of your trading and if you are extremely excellent then the answer is Yes you can reach your objective by year end. But the $250K will be in commission and you still keep your 5K.
The point is to make less trades as possible with big win on each trade so we reduce the errors (losses) and commissions rather than making many trades with small win. This is the Wall Street game that we need to follow. Otherwise, we just make the broker richer and at the end our account will be completely evaporated and broker don't like that too. So trading this way is a losing game for both, us & broker, in the long run. So why you need to be in a hurry to make 50-fold a year and plan to retire early? With that winning rate you will take all the money from Wall Street in just less than a decade. Then nobody will be fun even you I guess because you will feel guilty. Don't you think trading is extremely fun if you can just consistently reach 2-fold yearly. So there is nothing wrong to stay in this business for longer time. Not for the money but just for fun like Mr. Buffet.
Although, the OP's strategy depends on a high commission cost per dollar profit, if he stays disciplined, in the long run he'll be successful.
This isn't an experiment in swing trading or investing in equities for that matter. If it were, I agree with you.