Possibly. Do be aware that your partner will not be able to later get a Green Card based on yours. As a non-immigrant, however, it is sometimes possible to bring a domestic partner. The domestic partner would apply for a tourist visa at a US consulate, and continue extending tourist status until the primary partner's status ends.
Please note that this is very much a discretionary decision. Therefore, it is not guaranteed that you will actually get a tourist visa for this purpose.
Also note that this process requires an actual tourist visa, even if you are from a visa waiver country. While usually consulates in visa waiver countries are reluctant to issue tourist visas because somebody who claims to be a tourist for a very long time could be considered "suspicious" of immigration intent, joining a non-immigrant domestic partner is a valid reason and should get you past this threshold. Similarly, extending the tourist status even multiple times tends to be more likely to be approved because of the tie to a non-immigrant.
