The simple answer is no, they are not interchangeable or universal.
The reason why pressure washing equipment doesn't usually work universally despite being similar devices due mainly because there are different types of fittings available depending on what material it is constructed out of.
For example, electric pressure washer wands are usually less powerful than the ones you see being used with gas-powered units. Most of time if it is an electric power unit, it will be made out of plastic since its durability does not need to match a more powerful wand's resilience.
You also want to keep in mind that there are different grades of pressure washer wands. Some are designed for home use while others are commercial grade and able to take quite a beating before you are forced to retire them from your tool collection.
Finally, you must make sure the fittings that are used fit with your pressure washer. If they fit, and it is the right grade for the unit you have, odds are you will be in luck.
However, if that is not the case you will have to continue your search until you find one that is suitable.
Keep in mind that pressure washer tips are also not usually universal.
Do not risk it, it is not worth it, just get the right one to ensure your unit is not overworked or performing at the level that it should be