I work in a bike shop, and we routinely remove and replace SRAM Power Links with fingers only. You may need to squeeze the side plates together to help the link come apart. We reuse them because they wear with the chain and you want all the links with even wear. To install a new SRAM chain, and possibly to add a new Power Link to a broken chain, you need a chain tool to shorten the chain to the proper length.
Oil is good, grease is better.
2007 Peter Mooney w/S&S couplers/Terry Butterfly
1993 Bridgestone MB-3/Avocet O2 Air 40W
1980 Columbus Frame with 1970 Campy parts
1954 Raleigh 3-speed/Brooks B72