This is really different requirement then regular we have, that's why not a single plugin is fulfilled your requirement.
Is there any other plugins available for this functionality
Instead of asking for availability of plugin, I would prefer to search it to
the Marketplace.
If you don't want to make your hand dirty, you can ask plugin vendor to make it for you, they will customize plugin as per your requirement(with some cost obviously!)
or we need to customize code?
You can also choose this option, but there will be a lot of customization needed.
First, you need to give access to the user(s) to upload product(a job in this case) and all other vendors will see that job and bid on it and so on..
Either you can customize order functionality from user side, and all vendors can see that order.
Instead of making manor changes into running code, I would prefer to create your separate plugin and handle all the thing with it, and disable default functionalities which are not required to you.
Hope this helps!