Not directly for handwriting, no. Those apps can work only on documents within the app itself. You could write the note in such an app and have it converted to text, then copy that text and paste it into your electronic records program. Whether that would be unusably cumbersome I can't say. If it is, then the program you wish to use would have to incorporate handwriting recognition of its own.
You may be able to use dictation to enter notes, but that will require an new iPad. The iPad 2 does not support dictation as part of the operating system. You can get dictation apps such as the one from Nuance, but I believe you'd have to do a copy-and-paste as with handrwriting.