Not exactly.
There is a sunrise safari that is available to book if you are staying concierge level. It is $65 per person and includes a safari tour of the park and breakfast.
There is another safari available where you tour the savanna of the lodge and then have dinner at Jiko. You do not have to be staying concierge level for that one, it is about $170 per person.
There are no tours that I am aware of that include feeding the animals.