One example might be legal injunctions, which could prohibit specific actions directly. These may be temporary or permanent, and are generally applied through civil law.
https://www.law.cornell.edu/wex/injunction>
In cases of professional or corporate misconduct, individuals may be stripped of professional certification (e.g., law, medical, or engineering licences), or barred from participating in specific roles within an organisation. An example, also from a civil (rather than criminal) case is this temporary bar against participating in hedge-fund activities:
https://www.sec.gov/news/press-release/2016-3>
A third possibility might be to have a mandate that a representative of the plaintiff's be granted a board seat, editorial oversight, or some similar role in any future media role held by Alex Jones. I'm not aware of any specific similar instance, though lawsuits seeking, e.g., board representation, have been filed. See:
https://www.wral.com/lawsuit-seeks-board-seats-for-unaffilia...>
In cases of cybercrime there are many instances of punishments (typically criminal law in this case) of defendants being barred from Internet access. That seems to have somewhat fallen from favour though I believe it's still practiced. A 2003 discussion:
https://www.nytimes.com/2003/01/21/business/barring-web-use-...>
Mind: I'm not a lawyer.
That said, none of these options involve bullets
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Late edit: Another example of extant prior restraint would be prepublication review, a process which applies to members of the intelligence and justice communities. I just heard a mention of it during a Fresh Air interview of Geoffrey Berman. It's described (for the NSA/CSS) here:
https://www.nsa.gov/Helpful-Links/Prepublication-Review/>
That's not at play here, but does give an example of prior restraint on free speech under US jurisdiction.
It also brings up the matter of classified information and that system's impacts on free speech. C.f., Edward Snowden.