As per LTA, any vehicle with a P registration can be rented out for self drive to another person on weekends & public holidays. In case the vehicle is R or Z registered, then it can be rented out anytime.
From Oct 15th 2019 until Oct 15th 2020 Drive lah has received an exclusive exemption order for rentals of p-registered cars during weekdays. See more information here: https://sso.agc.gov.sg/SL/RTA1961-S660-2019?DocDate=20191002
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It is the responsibility of the hosts to ensure that they adhere to the above LTA regulation.