Is it possible for a hacker to send signals so similar to those of a GPS satellite but carrying wrong information, so that a GPS receiver thinks he is in another place?
Indeed, that it is called spoofing: civilian GPS signals are known to be susceptible to spoofing attacks which make GPS receivers in range believe that they reside
at locations different than their real physical locations. Please find below a list of papers and links that may come useful for understanding it:
This is a interesting field and Receiver developers work on developing anti spoofing techniques ... so that it is not easily possible to spoof a receiver ... this becomes more important for GPS receivers used in defense related activities.
With the advancement in the technology and the growing use of GNSS, the spoofing attacks are becoming more likely. The problem had a ties to defense related activities long ago, now the victim can be the receiver fitted in somebody's own vehicle to deceive the employer.