Does transferring Bitcoin to Trezor hard wallet incur capital gains tax?

Right now I have just a couple thousand dollars of bitcoin shares on Robinhood and on a Coinbase wallet.

If I transfer my bitcoin shares to Trezor hard wallet, is this considered a withdrawal of funds?
If so, I think I would have to pay short-term capital gains tax on it (~35%), which is not good.

If this is the case, I think I'll just leave the funds on Robinhood and Coinbase and take the risk of not actually owning them or being hacked, respectively.

But, moving forward, is there any way to acquire bitcoin and transfer those tokens to a cold wallet without it being considered a withdrawal of funds (paying capital gains)?