I have an Ipad2, is there a way to update to IOS11.2?

No.

Your iPad 2 is an over 9-year old iPad.

These older iPad models are too old, now, too underpowered and completely incompatible with any of the current and future versions of iOS/iPadOS.

If you need an iPad that can run the latest and greatest versions of iOS, as well as, the most current apps available, then, you need to purchase a new iPad from Apple or a discounted, refurbished iPad from Apple’s Refurbished & Clearance section of Apple’s Website or a new or refurbished iPad from an Apple authorised, third party retail or online reseller OR other trusted sources for new or used Apple products.

Sorry & Good Luck to You!

Sorry, no. The 2nd gen iPad is around 10 years old now and unable to run anything higher than 9.3.5 (9.3.6 if a cellular model)