I plan to transfer file on PI to my MAC just through LAN. For example, both of them connect with the same router (which do not connect with Internet). Is that possible?
Yes. The easiest way to transfer files is with an SFTP client like FileZilla. Install that on the computer you want to transfer the files to. Start the software, then put in the IP address of your pi, your username, and enter the account password when prompted. You should see a list of files in the home directory (e.g. /home/pi) which you can then navigate and download/upload to, just like FTP.
There are many ways to do this. As @Fred indicated,
ftp is one possibility.
You can also use
ssh to transfer files from the terminal prompt. (
OS X has
You could install
netatalk on the Pi which lets you use Finder to access the Pi. Connect with
afp://raspberrypi.local (or the