Hello and welcome to Apple Support Communities, verna2197!
We understand you want to setup an alternative greeting for your voicemail for special situations. We'd be happy to provide information to help you out with this.
The only way to have another greeting setup is to change the main greeting you have: Check your voicemail on iPhone
"Set up voicemail
The first time you tap Voicemail, you’re asked to create a voicemail password and record your voicemail greeting.
- Tap Voicemail, then tap Set Up Now.
- Create a voicemail password.
- Choose a greeting—Default or Custom; if you choose Custom, you can record a new greeting."
However, you can also setup custom replies for when you decline calls: Answer or decline incoming calls on iPhone
"Decline a call and send it directly to voicemail
Do one of the following:
- Press the side button or Sleep/Wake button (depending on your model) twice quickly.
- Tap
. - Swipe up on the call banner.
You can also swipe down on the call banner for more options.

Do any of the following:
- Tap Remind Me, then choose when you want a reminder to return the call.
- Tap Message, then choose a default reply or tap Custom.
- To create your own default replies, go to Settings
> Phone > Respond with Text, then tap any default message and replace it with your own text.
Note: In some countries or regions, declined calls are disconnected without being sent to voicemail."
Have a great day!