Yes you can. It is fairly trivial to move your FCDT templtes into LiveCycle. However, LiveCycle Designer is no longer bundled with Acrobat as of XI. However, if you upgraded to XI from a previous version of Acrobat, you may be eligible for a free upgrade to the latest version of LiveCycle. Please see here: http://helpx.adobe.com/x-productkb/policy-pricing/upgrade-livecycle-designer-acrobat-xi.ht ml
I've always used LiveCycle to create and manage forms...just suggesting as an alternative to others who seem to think there is no other Adobe product available.