OP asks hypothetical questions and IMO the answer is yes, it is possible. Consider trading ES with $10k account, trading 2 lots at a time a shooting for 10-12pts a month (!), taking only best setups.
Any trader who asks the question, "Is there a strategy I can learn to make 40% return on my small account?", doesn't understand what he's up against. Sure, anyone can make 40% in a month on a "portion of their total capital which happens to be in their small trading account"... or even all of it if they play/risk it that way. But that's waaay different than making such plays with all or a significant part of your capital*. Just because something is "theoretically" or "mathematically" possible doesn't make it likely.
*I formerly participated in the national real-money investing tournaments... US Investing Championships, MMVR... I often wondered what the results would have been if there were a category of trading "all of your mother's money". IOW.... there is a strong psychological component when trading significant amounts of money and when losing it has especially negative consequences. (You know, like if you lost all of your mother's money, she'd have to come live in your basement.)
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