You do realize most flooring it tongue and groove, right? How are you expecting get just 'one' out from within the field? And reinstall it's replacement? In a way that won't come loose or look awkward? If you were very lucky you *might* be able to push a replacement piece back in from a side under the island or the cabinets. But you'd most certainly have to cut the first pieces loose in place. Have extra saw blades on hand for when you hit the nails or staples. And, of course, wear eye protection!
Having watched the gas company guys use some sort of pneumatic ram to push new pipe under some 30' of my lawn, I'd wonder about something like that for a line under a slab. But I'm guessing the amount of start/end area needed wouldn't make it practical. That and you'd REALLY have to be certain about what's under that area. Just don't do it with a water hose arrangement as leaving a void under the slab could lead to cracking or other failures.
Bob.... Just talken it out with you.... not every detail for every circumstance that you might have... but yes you can carefully remove one board (basically by cutting out its center, than carefully cutting out its remaining frame... I like an ossillating tool).
Replacement consists of routing/cutting a replacement from existing stock. Some considerations involved are whether you have TnG, TnG glued, click-lock,and whether its a floatihng or glue down floor. You will end up with one square cut end and you do have to carefully bevel-stain-finish that end..... then basically glue that piece in.
Bottom line it is possible, and done all the time when a piece is damaged in the middle of your living room.
Never stop learning (xcep fer speling en typeing)