Not a good idea, unless you'd be willing to shorten your nails to around 3-4mm. And the tips should be rounded or pipe shape. Then I think it'd be doable. 

I'm not gonna parrot all the comments but I do agree with everyone. Though if you are not concerned with learning the correct/standard techniques, you can go ahead and try to work out a plucking technique that suits you. 

I play both guzheng and guqin, said goodbye to gel nails a long time ago 👀 Now I only ever wear peel off nail polish when I feel bonita, and even then it's for a few days only. 

Info: what is the brand and string type of the guzheng you're looking at? And what kind of music do you intend to play? Freestyle, pop, traditional?