Nushares storage

I have some Nushares on Poloniex and I would like to move it to wallet.
Can I withdraw Nushares to Nubits wallet?
Or other wallet?

I think yes.

In your NuBits wallet you should be able to switch from say US-NBT, or whatever other denomination, to Nushares. You can use the receive address to withdraw from Poloniex.

Make sure to read up on the voting mechanisms so you can use your shares to help benefit the network