No.
There is no mechanism under the post-2011 legal regime to dissolve a Parliament that does not consent - by a 2/3 supermajority - to dissolve itself.
According to the article there would be a new election if parliament couldn’t choose another PM with a majority:
“Mr Johnson had previously vowed he would rather be “dead in a ditch” than to further delay Brexit - with sources claiming that he would even be willing to resign as PM.
The nuclear move could force an election if a majority government could be not be formed.”