It is possible, especially if propeller is electrically-driven in ducted-fan configuration.
But the idea is not mechanically attractive, because blades would be in compression, and modern materials are stronger in tension rather in compression. Also, without central hub, rigidity of propeller will be lower. If you have some special (rigid and strong in compression) material in mind, you can investigate if some weight savings are possible.
Thank you very much Oleg, your answer was really useful for me. The only point i´m not very sure is if it is mechanically attravtive or not, but it´s not a problem, bye.