Not really...
I mean yes it would give authorities more power to act after an incident (though typically, they run away and hide and often ditch the dog anyway)...
It would catch out the generally decent but chaotic people who are disorganised and forget to sort out paperwork.
The generally decent but ignorant of the rules - this covers quite a lot of people.
The decent but made a mistake/had an accident/freak one off events.
These are not the categories of people causing the real problems. They're not the people intentionally breeding human aggressive dogs, or training dogs to attack people, or intentionally owning dogs to use as weapons.
We already have laws that come into play AFTER an incident, and when dogs killing people was rare, this was deemed 'enough' (I disagree actually, particularly when so many cases were children killed by a dog the parents brought home, and little to no action was taken as 'they've suffered enough' and 'public response would be dire if we did that...')...
So the chances of licencing owners to own dogs actually reducing attacks/deaths is really low - and it would cost a lot of taxpayer money to set up, we have literally none of the systems/databases/infrastructure necessary.
It's been 7 years since chipping dogs was mandatory - not only is it not enforced, we still do not have a single central database, we have nothing insisting all the databases work the same way, or that they talk to each other properly! Effectively... useless.