There’s no built-in way to do that, no. It would pretty much defeat the whole purpose of WP Job Manager itself, which is to let people see the job details and apply to it.
If you’re handy with PHP, you could do it, but you’d need to override our default template file. Here’s a general tutorial:
https://wpjobmanager.com/document/template-overrides/
The file to override in this case is:
WP-Job-Manager/templates/content-job_listing.php
That said, we aren’t able to actually write the code for you. You may want to look into one of these services if you need help:
https://codeable.io/?ref=l1TwZ
https://studio.envato.com/
https://jobs.wordpress.net/
Thanks!