No, if the new strings are lower tension than the old ones then the neck is pulling back, resulting in a lower action than before. As the OP says, he usually brings it to a tech so we must assume the saddles are at the appropriate height as they will not have moved, just the neck (or specifically, the nut relative to the last fret and bridge saddles). Adjusting the saddles now will just make the right setup more of a moving target than it currently is. Once the neck relief is back where it was, everything else should be in the right place.
@lowlandtrees it sounds like you just need to loosen the truss rod a small amount. If you fret the strings at the first and last frets at the same time, there should be a small gap between the top of the 8th and 9th frets and the bottom of the string above it. This is called the neck relief. Higher tension strings pull the neck forward and the truss rod is adjusted to counter that pull, leaving the neck with an appropriate amount of relief. The amount of relief is down to personal taste, personally I like very little relief, little more than the width of a piece of paper. If the relief is about the same as the thickness as a business card, then you’re in the right area. There are plenty of youtube videos which will bring you through it in detail. You will only need a very small adjustment to get you back to where you were so it’s nothing to be scared of. Take it slowly, don’t force anything, move in small adjustments and you’ll be fine.