Possible, Yes. Wise, No.

You're better off cutting the 5 feet into 6-8 inch long segments and trying to root multiple pieces. (this way if one fails, changes are you will likely get at least one of the others to root).

Also, were I you, I would wait til dormancy and root then. Even if you get the pieces to root, chances are not great that your newly rooted pieces will establish enough before winter to safely survive it (in zone 6b).

Root this winter and plant next spring, after all chances of freeze.

CAn I ask why you are not trying to move the whole plant, instead?

~Chills

Thanks for the reply Chills, the fig tree is in the ground now and I want to take the 5 foot trees and plant them in a big pot but in the winter when they go dormant like you said, would this work or should I try to dig the whole tree up when it goes dormant?
Rye

Why not consider air-layering it in a big (3~5 gal) pot. There is still plenty of summer left for successful air-layering. Over-winter the air-layered pot in the garage with proper protection and then plant it next summer in the sunny location. Your original fig plant will be there in ground as assurance.

You are going to laugh but I have had a lot of success moving small trees and bushes by wrappig them at their base with flat webbing and snathing them out of the ground with my truck. It works best after a rain. When I dig them I never have roots beyond a small root ball. I end up cutting those. When I snatch them I sometimes get the complete root system with roots 7 to 8 feet long.
I started doing this with bushes that I did not care if they lived or not and they all survived the process.
A 3/4 inch fig like you mention above might not be large enough to survive the process.
I have a Celeste with a 5" trunk that might get the snatch.
It continues to drop fruit every year. Its a very healthy looking plant but its giving almost no fruit and I will probably put something else in its place. If I cut it down I will have to deal with the stump. If I snatch the Celest I might be able to move it to another location that I have where it can live on possible get its act together on making fruit. I'm definately not going to take care in digging up a fig that has never been a proven producer.
I used a cable "come along" to remove a large Nandina from the front of the house. It came up with all the roots and lived on at someone elses house. I had to cut that thing ever few months just to see out of one of the windows.