The MRSA is Methicillin Resistant Staphylococcus aureus which is a bacterium. This bacteria can cause infection on skin and also some systemic infections when inhaled. Usually it is hospital acquired and person to person contact also transfer this bacteria. There are 7 identified toxins which can cause food poison if the infected person touches the food and that food is eaten by healthy person. You might not get MRSA infection by touching contaminated foods but you can get food poison by eating that food or by putting your fingers in the mouth without washing after touching that food. For more information, visit MRSA.
MRSA is highly contagious. You can get it if the infected person has any kind of contact with you. Yes, it can be spread if the infected person touches the food product and then you touches the same food. Also check out this answer