Yes, and many owners do. Worn apart, each half functions as an ordinary pendant or an ordinary pair of earrings, and nothing in the design announces that it belongs with something else.
Worn together, one motif repeated at two different scales reads as intentional rather than coincidental, which suits occasions where the rest of an outfit has been thought about in advance.
If a suite is bought mainly to be split, the earrings are the half to check first, since a size chosen to balance a large pendant can be more than is wanted on an ordinary day.