Yes. Parties can negotiate a contract where no additional rental fee for the term of the temporary lease is required.
The other terms of this agreement to sell the property, which includes the temporary lease as part of the main contract, could provide sufficient consideration for the lease to be effective and enforceable without specifying additional monetary consideration for the temporary-lease term.
The same answer would apply to those using the Buyer’s Temporary Residential Lease(TREC 16-5, TAR 1911).
Source: TAR