no. the same message does "never" encrypt to the same cypher:
$ echo lol | gpg -e -r F8669BB7 --armor
-----BEGIN PGP MESSAGE-----
Version: GnuPG v1.4.11 (GNU/Linux)
hQEMA2gTLr1USDZGAQf/YbbnzHvNfdqbs6hmdmIaaiZOSfW9P6Bc8tdF4MG/JbP+
RTxbLpi4W+vXs+WrD9jdik8KuDdZV54O1mb6Ido3xrYeEPBo0Vje2eVpgUy01VUa
2RM76NvsX1VN9rap6KvHuO/h7IFwDuAtvUUcDyFH+qK2UEHordFi+mWKqICocQt0
WWgpCk5BVgM/1q2c2ruWxVuZs/IMh9LQGZ1i7hpkJHAYqovhghROmGarUuJYXGDi
s6rSMpjxbXDhPMYbbhbBI4pRhgKtN2FMlKyI3XoH+LCFHsOyBmazroVYWFu+gafH
6LU2Z65OQyJWqX5CLdwab4qpUQdht6lqkUHRJB9xdtI/AfTFF7BbRP8PR+q9GVAe
r4I812VmBn3hwBHJzNiFDEGVkt/IDpd6M/X2Vi0xJx0LUaICL+swPVudenPuvlnt
=zeUd
-----END PGP MESSAGE-----
$ echo lol | gpg -e -r F8669BB7 --armor
-----BEGIN PGP MESSAGE-----
Version: GnuPG v1.4.11 (GNU/Linux)
hQEMA2gTLr1USDZGAQgAo4ZEHGWKSgwVmbC7crACvTXVtlgP4n8J/3oSohct9zrM
SqPd4L5TWsjOh+2LlG7WQbPnpn4Tcv9c4RyPNb+1C/fWRmGhV+a3QhuC+rrus5c6
/FPwsHTjO30N0AnCMzoXAaqDRRGw859BKazEZyxIHherU+o7wNRKrW6U1ikRd/Pu
BwHChUZHBRmZhomrtYPbQ5cNAJQtPMj94Z8OuZeCEzPNBr3opevoMs2j+9ysOtkF
7Cam3jTKLM3GwHSm4c7WzhdJJsXbnOn8ODYRBf++4oJChPIqeT2EssigAQuuhHlk
pDhM40zB7hAd6MJM52cZpM3UqTe/iI4vHSrQ+pw/otI/AWY6s4aIlF5AAzoM0wAR
FzobJ5Vbp7fBgA1SiOhEhSAdT/U2yy2jQcQN53yyX9Vqtunh3dNmCGaNNavszK8+
=YDLc
-----END PGP MESSAGE-----
$