Changing from HDD to SSD with my Airport Time Capsule
As long as you're on your Wi-Fi network, you should be able to do that, but if I were you I'd just buy a SATA-to-USB cable ($30 at Best Buy), install the SSD as usual, connect the HDD over USB, make a disk image of it with Disk Utility (in Recovery), and then install the image on the new drive. I did this when I upgraded my MacBook Pro to an SSD and haven't had any problems with it.