Does getting your Oil change late bad for your car?

In my 2018 Civic Touring I have about 39898KM and the next maintenance appointment is Oct 2019 or 41000KM. Thing is I'm busy, and I have a planned vacation but I can do the oil change the first of second week of November.

Thing is there's no warning light in my car and I haven't driven anywhere close to the KM I need for it to be considered oil change time only cause its Oct 2019.

Will I damage my engine if I do it in Nov instead of Oct?

Honda recommends every 8000KM or every 6 months but last time I was in it was 33000KM and June 2019

You haven't reached 8000Km yet since the last change, so you are still good, the miles matter more than the time period.

Better late than never

Your dealer recommends every 8000km, not Honda. Honda recommends up to 10000km depending on conditions. It also recommends reading the owners manual which you clearly haven't done yet. There's this fancy computer thing called a "maintenance minder" that will tell you, based on what the car thinks, when you should have your oil changed. If you go in when your dealer wants, you will pay far more than you need to do as they will also charge you a premium price for Honda oil.

My 00 Accord pops up a light every 7500 miles. Dino oil every time, 180k miles and still going strong

The cleaner the oil the better. If the oil is dark, change it. You get more extended use from a good, quality filter & synthetic oil.

Get your oil changed as soon as humanly possible dirty oil will cause engine wear.

It's all plus or minus, just so the oil if full…

I don't know if you're using regular or synthetic oil.
Your motor has variable cam timing and the cam advance actuators will tarnish up and start to stick and throw codes if you go too long between oil changes OR let the oil level on the dipstick fall lower then half way between the upper and lower dipstick marks. It's imperative you check the oil level every 1,000 miles and top it up if needed.

Rarely anything good comes from utter ignorance.

A few weeks late or early is OK, Just check the leave to make sure you have enough oil in the system and do not over fill. That can cause the pressure to increase and make oil leaks. Have a nice vacation. And your ride should always come first!

It isn't going to do any harm at all BUT it will invalidate any warranty you have.