Will my whatsapp chats also transfer to the new iphone, even though it's not backed up on icloud?

For a safe restoration, Please back up the entire device to a Computer...

This will get all the WhatsApp Data if they are not backed up on iCloud.

How to backup with your computer

1. Connect your device to your computer. On a Mac with macOS Catalina 10.15, open Finder. On a Mac with macOS Mojave 10.14 or earlier, or on a PC, open iTunes.
2. If a message asks for your device passcode or to Trust This Computer, follow the onscreen steps. If you forgot your passcode, get help.
3. Locate your device on your computer. If your device doesn't appear on your computer, learn what to do.
4. If you want to save Health and Activity data from your device or Apple Watch, you need to encrypt your backup: Select the box called Encrypt [device] backup and create a memorable password. If you don't need to save your Health and Activity data, you can make a backup that isn't encrypted. Just click Back Up Now.
5. Write down your password and store it somewhere safe, because there's no way to recover your iTunes backups without this password.
6. 
7. When the process ends, you can see if the backup finished successfully.
8. 

There are two scenarios for Android to iPhone.

• WhatsApp Chat is on the Android Device
• WhatsApp Chat is backed up on Cloud Drives

WhatsApp Chat is on the Android Device

If all your WhatsApp chats are on the Android Device and have not taken a chat backup then... Please use --> Move from Android to iPhone, iPad, or iPod touch - Apple ... Select WhatsApp App while selecting which data you want to get moved from an Android to iOS.

WhatsApp Chat is backed up on Cloud Drives

WhatsApp Chat backed on any Cloud Drive may not get fetched. The Move process cannot extract data from Google Drive or any other Drive where the chat backups are stored using an Android device, I presume iCloud Drive is not one of them. My experience says you can't transfer the WhatsApp Backup which was done using an Android because on Android, WhatsApp, chat history is not stored on iCloud, on iOS it is.

That may be possible with third-party software. Warning!; WhatsApp data through third-party software has the risk of data being compromised. Because the data will be churned through third-party servers, which may or may not be encrypted. Be judicious while selecting the software and taking this call.

If you had enabled WhatsApp Chat backup then I am sorry you may need to contact the app developer here --> App Support or WhatsApp FAQ  Or Restoring your chat history - WhatsApp FAQ or Contact WhatsApp