No, I don’t think so. This is a great example of a metaphor Jesus uses that worked for his listeners because it was familiar to them, which is less-familiar to most of us as we no longer live in an agricultural society.
When you prune a fruit tree or a vine, you cut away some of the growth in order to concentrate the plant’s energies. Then it will produce more (and better quality) fruit. So you trim away, in this order - any branches that are dead, dying or damaged, any branches that have grown crooked or at an angle that will tend to break if they get weighted with fruit, and finally other branches which have nothing wrong with them but with the end result that the branches that are left are well-spaced to allow plenty of sunshine and water to reach the fruit and air to circulate around the fruit while it is growing.
Depending on the kind of plant and how often you prune, you may prune away as much as a third of the branches. The plant often looks pretty sad when you’ve just finished (and there’s a mess of cut-off branches to haul away and burn).
The tree or vine is still firmly rooted and so still being nourished, and in fact because the overall load on the system is dramatically reduced, the plant normally puts out rather a rush of growth on the remaining branches fairly quickly after the pruning.
If you don’t prune, the tree/vine will develop many more branches and set many more individual fruits, but the fruit will be tiny, prone to molding, and most of it will be unusable. So if you care about the fruit, you have to prune. Jesus tells us that God will prune us to make us more fruitful. This is in addition to the warning that branches that don’t bear fruit will be cut-off. (See order of pruning, above)(Compare to Romans 11)
When we read Jesus’ words with an understanding of pruning we can see lots of applications - but being cut-off from grace isn’t one of them, unless we are the fruitless branches.
