Not quite is the answer. When the load is a resistive load like a heater Watts and VA are interchangeable. When the load is an inductive load like a motor it gets more complicated. The explanation is a rather complex electrical concept called Power Factor, but in simplified form it goes something like this: With inductive loads the load itself reacts with the power source. With each cycle of current a magnetic field is set up within the motor coil windings. As the magnetic field starts up there is an inrush of current, once the field is established nothing much happens, and then at the end of the cycle there is an outrush of current. The effect has a time lag and the outrush of current fights the incoming current for the next cycle and thus reduces the total amount of power available to do the work. This effect is called Power Factor and can be defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit.
The Power Factor effect means that with resistive loads the formula Watts = Volts x Amps is true but with inductive loads the Watts is some lesser amount. Thats why you will see inverter manufacturers quote their rated output in VA - its because it is the higher number and so looks better on the spec sheet. Everybody does it. If your inverter is running a toaster or a coffee maker it doesnt matter but if you are running a vacuum cleaner or power tools it does and you need to be looking at the Watts figure.
The rated output for our most popular inverter charger, the Victron MultiPlus 12/3000 is 3000 VA but for inductive loads it is rated at 2400 Watts. Now you know.
This is a complicated subject that I have greatly simplified, if you want to delve a bit further this Wikipedia article on Power Factor will get you started. Please feel free to add your bit in the comments below.