Yes, but only if the receiving facility, in this case the generator of the hazardous waste, is also a permitted designated facility.
A TSDF that sends waste off-site must comply with the generator manifest requirements in 40 CFR Part 262.20 [see also §§264.71(c) and 265.71(c)]. This includes designating on the manifest one facility that is permitted to handle the hazardous waste (§262.20(b). (Monthly Call Center Report Question; December 2003 (RCRA Online #14693). A designated facility is defined as any hazardous waste TSDF that has received a permit or interim status or a recycling facility that is regulated under §261.6(c)(2) or Part 266, Subpart F (§260.10).
Additional guidance regarding manifesting hazardous waste to a generator is available in the following document: