No. A cutting is considered an entirely new plant.....much the same as if you were to start from seed. The exception would be true annuals (not cold sensitive or tender perennials sold as "annuals"). Since true annuals - like the basil - only live for a single growing season and are dead-easy to grow from seed, it is pretty much useless to bother with cuttings.

Thank you as always GG

if I may ask, can you tell me a bit about your propagating methods for cuttings? I've been having pretty bad luck with rooting cuttings and wanted to hear your methods.

Since I downsized and moved away from my big garden, I don't do many cuttings any more.......no need to :-) But the methods (and timing) will depend primarily on the plant you are taking cuttings from. Some - like hydrangeas - require nothing more than taking a few inches off the end of a branch and sticking in the ground. Others require more care and involve dipping in rooting hormone, planting in a fast draining media and keeping warm and moderately humid.

If you Google using the botanical name of the plant and 'cutting propagation', you should turn up various sites that will tell you the proper timing and methods to achieve success with that specific plant type.....they will all be slightly different, just like starting from seed.