For the time being, no. That of course doesn't mean they can't be joint (docked or berthed, depending on the purpose of the port) by using various, mostly semi-permanent adapters, like e.g. Pressurized Mating Adapter (PMA) or International Docking Adapter (IDA) that are planned to be used first in 2014-2015, converting APAS-95 docking interface to the NASA Docking System (NDS) that will be used on future NASA spacecraft:
An NDS interface will be available on the two International Docking
Adapters (IDA), which are intended to be installed on two of the three
Pressurized Mating Adapters (PMA) on the ISS. The Soft Capture
Mechanism (SCM) on the Hubble Space Telescope is compatible with the
NDS.
NDS is intended to be used by Commercial Crew, Orion, and all other US
vehicles.

NASA Docking System (NDS) passive and active configuration (Source: Wikipedia)
List of past, current and future types of spacecraft docking and berthing mechanisms is available on Wikipedia. Among those currently in use on the ISS are three Pressurized Mating Adapters (PMA) with an APAS-95 docking port:
PMA-1 is semi-permanently connected to the APAS interface of
Functional Cargo Block (Zarya), connecting the US Orbital Segment
(USOS) and the Russian Orbital Segment (ROS); The other two PMAs are
free, possibly available for visiting spacecraft.

APAS-95 in active configuration, its soft dock ring with the three petals extended (Source: Wikipedia)
There is however the International Docking System Standard (IDSS) in development, that plans on creating a standard for docking and berthing:
The new standard allows for the use of APAS heritage design features
while enabling technical advances made available during the past 40
years since APAS was first designed. Specifically the low impact soft
capture system is a step forward in delivering reduced energy
dockings. Rather than reinventing the wheel, this standard
incorporates proven APAS features while advancing the
state-of-the-art.