Our corporate blog has the Jetpack plugin and it is associated with my personal wordpress.com account. I'd like to change it to our corporate wordpress.com account. If I do that then will I lose the site statistics from before the switch?
Your stats and subscribers are stored on WordPress.com, and associated to your site URL. The WordPress.com account used to connect Jetpack to WordPress.com doesn't matter.
If you disconnect Jetpack from WordPress.com and then reconnect with another WordPress.com account, all the data associated to that site URL will be back in your dashboard. You won't lose any data.