Yes the Supreme Court can do so, upon application having been made to it for a restraint order and can do so without giving prior notice to any person or persons who would likely be directly affected by the making of such order.

However, once such an order has been made, a copy of the same shall be served on a person affected by that Order, in such manner as is prescribed by rules of Court. It is important to note though, that in order for a Court to lawfully be able to make such an Order, there are four specified bases in the Act and in the most likely to be often utilized of such, the Court must first be satisfied that one or the other of the following conditions is satisfied:-

There is reasonable cause to believe that an alleged offender has benefited from his criminal conduct and – i) a criminal investigation has been started in Jamaica with regard to the offence, or ii) proceedings for the offence have been commenced in Jamaica, but not concluded; or iii) the enforcing authority has made an application under Sections 5, 20, 21, 26 or 27, which had not been determined, or the Court believes that such an application is to be made.