i dont think so, unless you have access to their bank records.
You cannot. Even if you knew the airline, it is highly unlikely that the airline would even confirm that the person has bought a ticket.
Maybe if you read their email. If you know where they are going you might be able to shorten the list of airlines to check as airlines travel to a limited number of places.
Sounds like you are trying to spy on someone.
That's virtually impossibe and you'd have to call each and every airline and be able to provide the departure and destination cities.
No - that's like asking if you could tell if someone bought a pair of jeans without knowing which store.
Although you can buy an airline ticket without knowing which airline you'll be flying on! Priceline.com
Ask the person.
No. Not even if you DID know what airline.
If you have time , call each airline , and ask , Or , just go online.
this belongs in the PSYCHIC section