Welcome to the site.
Yes, you "can" do it. The Libby is rated for around 5000# total trailer weight, you will be about 500 under that. Definitely have trailer brakes hooked up. It is recommended you at least put on an extra tranny cooler, maybe even an extra cooling fan. If possible, use a Weight distribution hitch, even though most car/flatbed trailers do not have proper built trailer tongue for it, and pull with OD turned off. Make sure weight is distributed to about 10-15% of hitch. Take your time pulling.
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'99 Tahoe, 3" BL, 285/75/16's , MT II's.
'05 Liberty Sport, -wifey's
'98 Poncho Fireturd, 3.8L, .....the purple pig!