No, there's no need for that.
We can all just use a "regular" (web-based and free of charge) e-mail box for
our correspondence, and encrypt the letters we want to be private with GnuPG.
Or, alternatively, use such an account for the "postcards" (i.e.
unencrypted/non-private e-mail) that may be necessary for (more serious)
correspondence with government and corporate institutions (which can always
be read/intercepted by the "powers-that-be", anyway), and also set up our own
e-mail server, at home, for encrypted and more personal correspondence (with
people who may be tolerant if they ever catch our server "down", for some
reason, when they send their letters).
It doesn't seem that hard to set up our own e-mail server. And "jxself" (user
of this forum) as already made a "how-to" about it:
https://trisquel.info/en/forum/ixquickstartpage-launching-new-privacy-aware-email-service#comment-36240
