Why does my iPhone and Apple Watch keep calling emergency services?

Do you mean to say the following two steps happened automatically on your iPhone?

1. Press and hold the side button and one of the volume buttons until the Emergency SOS slider appears.
2. Drag the Emergency Call slider to call the emergency services.

While smartphones themselves can't harbor malicious intent, we must actively fortify their defenses. Tighten your device settings, be mindful of how you sync, and protect your digital treasure trove by safeguarding sensitive information with your loved ones. Don't underestimate the power of simple security measures. Employ strong passwords, enable two-factor authentication, and regularly update software.

 However, the vulnerabilities lie in our usage and connectivity. Unsecured settings, careless syncing, and oversharing sensitive information can transform this innocuous device into a Trojan horse for attackers. Vigilance is key.

If you feel an unauthorized person/app is remotely using, controlling or monitoring your device, then that is possible only if you have done one or more of the following Don'ts...

1. Don't hand over an iPhone to kids or to a stranger without Enabling Guided Access
2. Don't share Apple IDs
3. Don't Jailbreak
4. Don't share sensitive information pertaining to your device
5. Don't give in to Phishing
6. Don't plug in your device in Airports and Public places through third-party cables and trust the device. Beware of Juice Jacking. (Especially in India)
7. Don't leave your iPhone unlocked and unattended in public places like offices, schools, malls, etc.

If one of the above is true then quickly change the Apple ID Password and Return iPhone settings to their defaults.