The left-back, who is out of contract in the summer, was omitted from Pompey’s squad for last night’s 2-0 win at Lincoln.
Instead fit-again Lee Brown took his place on the bench, with Haunstrup remaining on the south coast.
The 23-year-old has been linked with a switch to League One rivals Bristol Rovers.
When asked if there was the possibility of Haunstrup leaving during the transfer window, Jackett was emphatic.
Pompey’s boss said: ‘No, there’s not. There’s not a chance.
‘Nobody has put any offers on the table, but it is not one I am looking to do in the next few days. No.
‘He is out of the team at the moment and will be frustrated with that, any player would, but similarly it’s about the club, it’s about Portsmouth Football Club.
‘It’s not about any one individual – and that is not going to happen.’
Meanwhile, Brown was back in the squad following an Achilles operation early last month.
Jackett added: ‘I have been pleased with Lee’s attitude and he is one of our most experienced players.
‘It was close who made the bench, they are both good players, you need left footers in your squad as well.
‘During the course of our season, people have done okay, but we have lacked left footers and had whole runs of games with no left footer playing at all.
‘That is why we are not letting anybody go.’