We don’t know of a student’s need until they submit a FAFSA. Not submitting a FAFSA is another sign that the student is on a non-immigrant visa or undocumented, in which case they don’t qualify for state/federal financial aid programs. So, by default, the answer is “no”.
It depends on the student. A college has no way of knowing if a student currently present in the USA has official status or not except if a student informs the school or if a school official figures it out based on lack of abilty to declare a specific status like US citizen or PR or a visa-holder of some sort. A lot depends on where they most recently attended college (if any) or high school prior to applying to Wells.
Don’t be afraid to state the truth about your situation. Nobody can assist you if you hide it but make sure you have a relationship with your admissions counselor for the best service and the most help.