It sounds like something was conflicting with your original Jetpack plugin installation.
Would you be able to delete the /Jetpack/ folder from inside your /wp-content/plugins/ directory? You can do so by accessing your server through FTP access. Your webhost can assist you if you need additional help on how to do so.
It looks like you’re currently hosted at Bluehost, here is their support center to help get you started:
https://my.bluehost.com/hosting/help
Afterwards, it would be a good idea to make sure that all of your plugins, theme, PHP version, and core of WordPress are all updated before trying to install and activate Jetpack again (your host can also help with all of that). It should not give you this same error, but if it does, please let us know and we can help from there. Thanks!