I don't think so. I do that for pears and tomatoes and it works. I am really obsessed by the idea of green house. If I have green house I don't have to warry about freezing weather.

I've seen videos where the tree has been pruned heavily to encourage ripening.
The idea being that the tree is recieving a stress similar to the onset of winter telling the tree to hurry up and ripen the fruit.

Well:Removing branches that do not have any fruits on them is a good idea,now at this point ,to make the sun penetrate the canopy,if tree too dense.
Other than that a very large plastic bag over the plant ,with 6 inches of clearance at base will help create a minigreenhouse inside and the fruits will ripe faster.
But it has to be done just before first frost date.

If your trees are containerized, and easily moved. try the "fig shuffle"...that's when you leave your trees out in the hut, full sun by day...and bring them into a warm area (garage...sun-room, etc.) at night. Do this to ripen your late figs. Many growers do this routine.

Next year, pinch your tree's terminal buds after 6-8 leaves have formed. This will re-direct all extra energy into forming earlier crops of figs, and force these main-crop figs to ripen sooner. Most importantly...pinch out all breba figs. If allowed to grow and ripen these brebas will probably delay main-crop figs from forming earlier in the season. Better to ripen quality main-crop figs, than to ripen inferior brebas.

Figs can only reach ripe stage on the tree. Hope this helps.

Frank