Is it likely that an aircraft could have been near 10° 08' north at local midnight August 26/27, 2003?
Yes, it is very likely that an aircraft would be near that position/time/date as there are many aircraft that fly overnight flights from North American airports to and from South American airports, between Europe and Africa, and also between Asia and Australia.
For example, Air Canada has daily night fights from a Toronto, Canada to Santiago, Chile and both the outbound flight, and return flight, would often pass each other in that very same area and time. I would often operate those flights and we would chat with the crew of the opposite flight to exchange reports on flight conditions.
There are MANY other airlines with similar north-south routes operating overnight flights all over the world.