You probably won't have any problem with the drain pipe. You'll need to a pipe long enough to reach from the p-trap to the drain opening in the wall. Add elbows if the pipes don't line up. For the faucet, you'll need to make sure that the water supply lines are long enough to reach from the hot and cold valves on the wall to the faucet. For example, the supply lines for this Hansgrohe Logis faucet are about 15" long.

When I replaced my vanity, the drain and hot and cold valves were not directly under the sink but I made it work as described above.

-- amateur

I just installed a new vanity and sink. Counter dude was confused bc of lines not being centered and wanted to do the same with sink. I said no, centered and I got there easily with longer water lines, and drainage can be routed off center. As long as your lines don’t cause issues with drawers and such, but even then you can easily modify it. I had to do some work drilling and zip tieing one water line behind a drawer.

There is a reason it's called "rough plumbing". That means the plumber just gets it kinda close to the finished fixture. The rough-in has no bearing on sink placement.

Unless the drain pipe in the wall ends up right behind a drawer, you can usually work around off-center pipes without any issues. Even a draw box can be removed and hortened to give the clearance you need.

Bruce

In my main floor powder room I set the sink off center on purpose, so I would have space on the

counter for items. Centering it would have made both sides useless. Food for thought.

yes, it's super common for the plumbing to not line up. but get a plumber to do the job, they'll have access to parts you might not be able to get, and have the knowledge to do it correctly.

if it's behind a drawer, there are ways to set up the plumbing for that, but it's tricky. you might need to shorten a drawer.

Off-center pipes are not so hot, as they often require a universal rubber boot to make two male ends fit together on the waste line. It looks bad, it's bad workmanship, it is prone to leaks, and it is best to have the water follow a straight line to the main waste line to avoid backups. Since carpentry and plumbing are two separate professions, it usually costs an arm and a leg to have the work done. A useful homeowner with some carpentry skill can do the hard work for the plumber by exposing the back of the wall himself. Tools needed are a pencil, a straight edge, a 36" level, and a sheetrock knife.