After Tank gets Neo some "single celled protein" food when Tank puts the food on the table the spoon is on the right of the bowl. In the next shot that shows the whole table and people the spoon is on the left. Neo is left-handed you know.
Well I am so sorry. I just thought that it was rather quick and his hands didn't really look like he had touched it and it is really possible you know. They don't do the scenes all at once. They could have cut then went back. Sorry!!
I've done films myself and that scene would have been done in at least 10 different takes. Everytime the camera angle changes or the picture cuts to someones face etc they stop and restart.
Neo could indeed have moved it but he shouldn't have done according to the rules.
Haven't you ever been eating a bowl of cereal and you rest your spoon on the side of the bowl and it slides to the other side by itself? Happens to me all the time. It's probably because my table is uneven but Neo IS in a floating ship, who's to say it wasn't tilted slightly at the time?