Yes, you can make genius bar appointment and the store will help you. However, you can do it yourself:
Transfer content from an iPhone, iPad, or iPod touch to a new device - Apple Support
But note that if you have already set up your iPhone 14 this will erase everything on it.
To determine if your photos are backed up, On the iPhone 7:
- Tap Settings
- Tap your name at the top of the screen
- Tap iCloud
Is Photos turned on? If it is your photos are backed up to iCloud. If it is not you can turn it on, but first make sure you have enough iCloud storage to hold your photos. Unless you have a very small number of photos you will need to “rent” more iCloud storage:
- Tap Storage at the top
- Tap Change Storage Plan and choose 50GB for 99¢ a month, or more if you need more
- Then turn on iCloud Photos
You may also have backed up photos other ways:
- Manual iCloud backup
- Automatic nightly iCloud backup
- iTunes backup
- Transfer your photos and videos to your computer via USB cable
- emailed, texted or messaged the items to friends or family
- Sync to Google Photos
- Sync to some other photo archiving service such as Shutterfly
- Sync to Dropbox
- Sync to box.com
- Sync to Microsoft OneDrive
- Sync to Amazon Photos
- back up to Livedrive
- Backup to any other backup or archiving service
- Transfer them to a Flash drive through the lightning port on your iPhone, using a product such as SanDisk 64 GB iXpand Flash Drive Go - Apple