You can but from everything I've seen the last few months, the only brokerage who can transfer your share(s) in a timely fashion (3-5 business days) is Fidelity. Every other brokerage takes weeks or even months. So the quickest way, which is what I had to do, is to set up an account with Fidelity, then transfer your current account from Ameritrade to Fidelity, then direct register some or all of your shares from Fidelity to Computershare.

I transferred some from TDA to CS and it took 21 days.

Next time I transferred from TDA to Fidelity (3 days) then from Fidelity to CS (2 days).