It is possible to customize Odoo and not that complicated to provide a way to copy an existing Operation:

1. Create a Custom Field to link an Operation to another Operation:

2. Create a Custom Field that will "listen" for Users selecting an Operation and will "copy" the information:

for record in self:
  if record.x_existing_op_id:
    existing_op = record.x_existing_op_id
    record['name'] = existing_op.name
    record['workcenter_id'] = existing_op.workcenter_id.id
    record['worksheet_type'] = existing_op.worksheet_type
    record['note'] = existing_op.note
    record['time_mode'] = existing_op.time_mode
    record['time_cycle_manual'] = existing_op.time_cycle_manual
    record['time_mode_batch'] = existing_op.time_mode_batch

3. Add the two fields to the User Interface with a Custom View:

<field name="name" position="replace">
  <field name="x_update_operation" invisible="1"/>
  <field name="x_existing_op_id" widget="selection" />
  <p>or</p>
  <field name="name" string="New Operation"/>
</field>

Then you get this:

These seven properties of the existing Operation are copied:

Note:  This is a proof of concept, designed to help you understand an approach that might be useful.  You may need to modify the code to suit your own needs.  Possible enhancements are to limit operations if they have already been selected, or if they are not compatible with the product you are creating.  This has been tested very quickly and some of the Operation information may not be moved over - in this case simply add any missing fields.  Odoo or an Odoo Partner can help you here if you don't have the skills or time to do this yourself.