No, don't use it! The PSU will supply 19V ("voltage source") and will probably damage the load. There are PSUs that limit output current by dropping/regulating the output voltage (which then can be considered a "current source"), but as long as the required current isn't constant that wouldn't work either.
Most devices are designed for a specific operating voltage and sink current respective to their task. E.g. in standby mode your TV will sink a low current, but when the display is on, it will need much more.
The power spec "35W" just says, how much power it can provide, but at a higher voltage the load most probably will sink more current. More current at higher voltage means much higher power, which might destroy the load.