Is it possible to make a spare parameter (dynamically added to the node) not to write to undo stack. More specifically I still want to have a callback and do my own logic when parm is changing. It's just I don't want to changing to this parameter appearing in undos.

In your callback, try this:
https://www.sidefx.com/docs/houdini/hom/hou/undos.html#disabler [www.sidefx.com]