Transferring.

Yes, but it will cost you a lot of dust. If the two accounts aren't ultra friends, it's silly expensive (like 1 million dust. Yes, you read that right. 1 million.) Ultra friends, it will cost 80,000 dust, Best friends 40,000 dust.

So work on the two accounts becoming best friends first. Exchange gifts, opening from each account every other day. You can only get one friend bump per day, opening gifts in each account doesn't make it any faster.