supplication:
1. To ask for humbly or earnestly, as by praying.
2. To make a humble entreaty to; beseech
surrender:
- resignation: acceptance of despair
- giving up: a verbal act of admitting defeat
- give up or agree to forgo to the power or possession of another; "The last Taleban fighters finally surrendered"
- the delivery of a principal into lawful custody
- relinquish possession or control over; "The squatters had to surrender the building after the police moved in"
- capitulation: the act of surrendering (usually under agreed conditions); "they were protected until the capitulation of the fort"
so, no they do not mean the same thing.
