You can but many times the click locks break so you may risk having a bunch of garbage planks.

Remove the carpet and live on the subfloor. A year is no time in the world of remodeling. But it is enough time for the floor you’re interested in to be discontinued. You're already 6 months behind in planning for a kitchen remodel. The contractor that you really want to use has more than a year’s waitng list to get on his schedule. Your kitchen designer should have completed plans at this point, and you should be ordering some products. Appliances are taking a year or more to get.

Get enough flooring for the whole kitchen space plus 10% min then wait until the kitchen redo is planned then lay the floor and then the new cabinets the bonus the install will have anice clean look no added trim around the bottom I do agree this kitchen remodel should now be in the planning design phase as mentioned everything is still taking a long time to get. Please get an independant kitchen designer not the cabinet salesperson.

Some LVP is not made to have cabinets placed upon it, in fact, doing so can void the warranty.