If you need to change the dimension reference – i.e. place, to which the dimension refers – then it is possible. You don't have to delete the dimension and insert it again…
How to do it, I've written about this before.
Nevertheless, this method is not very convenient, if there are many dimensions close together, we have a low DPI mouse, we work with a model with many details close to each other. It is simply difficult to aim at a specific point in a dimension or model.
Then it is better to right-click at the end of the dimension and select Join again. Then a red cross will appear where the dimension was attached and you need to select it (click, don't drag out) new reference.
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