Yes—weather alert services can help, although they may be limited in how specific your criteria can be.

From the answers given:

• IFTTT can be used to create weather-based notification presets and send alerts, including to your phone/email depending on the setup.
• weather.com offers custom text alerts for broader conditions such as rain, snow, very hot, or very cold weather.

For photography planning, these tools are most useful for general forecast triggers rather than highly specialized combinations like “partly cloudy at golden hour on a new-moon weekend.” For those complex cases, you may still need to combine alerts with manual checking of forecast, moon phase, and timing.

So the short answer is: yes, services like IFTTT and weather.com alerts can do parts of this, especially for practical weather notifications.