I really don't think a poor person can accumulate Bitcoin because a poor person is someone who lacks the financial resources or means to meet their basic needs, a poor person has no discretionary income because the income his making is not even able to take care of his basic needs like food, clothes, shelter, electric bill's, water, etc. So there's no felt over money for him every week or month for Bitcoin investment.
The average kind of people in the society are the ones who can invest in Bitcoin not the poor people, an average person is someone who can meet his or her basic needs and also has a little discretionary income lift.
Someone can have a source of income and still be poor so let me put it this way if you don't have a discretionary income you can't invest in Bitcoin is as simple as that.
Believe on what you think impossible since there's provably situation change on a life style of a person if they are eager to find good opportunity online or everywhere. For sure that situation can change their life and provably they can take care everything they want including their bitcoin investment.
Remember that to many people doubt about Bitcoin before either they are not familiar with it or call it as scam but now Bitcoin prove so many things that's why it became one of the famous asset we have available these days.
Although we can say both is incomparable but there are certain instances that we can correlate it together since we are not really sure about what will happen in future. That's why I believe everyone is capable to invest on bitcoin as long as they are eager to spend some money for Bitcoin.