As long as the page and subsequent function scripts are
running in an SSL layer (HTTPS), yes the connection between browser
and server is encrypted.
There are different levels of encryption, so depending on the
level the connection is either pretty secure - to - really good
security.
Make sure the page can not be accessed without SSL (HTTP)
however, before releasing it to the general public.
also, make sure that no pages can be loaded from beyond the
login page w/o login or SSL either, otherwise you are only secure
in connection, and not in actual content provision.