No, particle effects are always seen only on the local machine where the script is run. Server-based particle effects will only be seen by the host (hosted MP) or by no-one at all (dedicated MP).
If you need the effects to be universal, then you need to run the same particle scripts on every machine. Depending on what effects you want, there are a number of ways you could communicate the need for them to all machines, the simplest of which might be to have an editor-placed trigger start a script (editor-based trigger activation is run on every machine). Alternatively, look at our
MP tutorial for a general introduction to MP scripting.