Sure, but there are essentially no legitimate claims in the USA because of the requirements for asylum: 1. You are being persecuted for something like religion

Sure, but there are essentially no legitimate claims in the USA because of the requirements for asylum: 1. You are being persecuted for something like religion or ethnicity. Poverty and ordinary gang violence doesn't count. 2. You must declare asylum in the first safe country you reach. Given that both Canada and Mexico are considered safe countries, it is extremely difficult to meet this requirement. You'd pretty much have to sneak onto an airplane without being caught.