How can you have an illegal immigrant deported from the US?
No. YOU cannot have anyone deported.
Only Immigration and Customs Enforcement can do so. Presently
ICE is only focusing on crime-related deportations (since many
"illegal" immigrants entered the country legally and were properly
inspected but either had visas expire due to a variety of reasons
some of which even include errors and oversights at DHS and USCIS
(and its predecessor, INS) and is not pursuing otherwise
law-abiding (and in most cases tax-paying) immigrants who have
fallen out of status.
You can, of course, report the individual to ICE but, if they do
take action against them improperly you could very well be civilly
liable to the person yourself if it is determined that your report
to ICE was improper and selfishly or racially motivated.