Can itemized deductions that exceed income in a particular year be carried forward?

[barnes]

my itemized deductions are high for 2015 because I paid for health insurance premiums out of pocket.

[DDollar]

With a few exceptions - no.  You cannot carry forward most itemized deductions.  You can carry forward charitable contributions that exceed 50% of your AGI, Investment Interest, and in some cases points paid to obtain a mortgage.  Unfortunately you can't carry forward medical expenses, mortgage interest, property taxes, etc.