Hi Nick!
Yes it should work. Sometimes I use a docking station power adapter on the laptop it’s self. The original adapter is 90 Watt, the docking station adapter is also 130 Watt.
The most important thing is, the voltage. If the voltage is higher then it should get you could fry something. Not if it’s a very tiny difference 19V - 19,5V, but still I don’t recommend to use it. If it’s a huge difference in voltage, you’ll fry something for sure…
At my case, the voltage is equal of the original adapter, so it should be good (also a Dell laptop).