Auras as presented by the pseudoscientific nonsense peddlers has zero evidence for it as far as I can see.
What we do know though is that there's a lot of unconscious processing that goes on in our minds. For someone open, aware and emphatically switched on there's a lot of information that can be available through allowing some space for that unconscious information.
What we also know is that for experienced professionals there's a lot of unconscious processing that goes on about what they do. A gut feeling about a decision might contain a lot of unconscious pattern recognition that does have some value.
As Pochettino says he makes hundreds of decisions each day. There's simply no time (or way) to rationally figure out what the correct decision is every time. And once a decision is made there's often a greater need for confidence than second guessing.
Call all of this unconscious information a gut feeling, an aura, a hunch or whatever. Personally I prefer terms that won't be confused with claims to the supernatural, but there's nothing wrong with using the term aura as Pochettino uses it.