Is your intent to replace the HDD in your notebook with the SSD? If so, the answer is no, there would be no space for any sort of adapter inside your computer. Yo can check, however, to see if your notebook supports configurations with SATA HDDs.
If that is the case, you may just need to find the SATA connector and cables for your notebook and install them. I have a Dell that supports both IDE and SATA HDDs, the type used depends on the physical interface and cable installed.
Good luck!