Theoretically, yes, lycanthropy can be transmitted via these encounters.
According to the 5E Monster Manual, lycanthropy is commonly transmitted by the natural weapons, such as bites or claws, that the lycanthrope has in their hybrid or animal forms. Page 206 has the general description for lycanthropy, which is technically a curse:
Curse of Lycanthropy. A humanoid creature can be afflicted with the curse of lycanthropy after being wounded by a lycanthrope, or if one or both of its parents are lycanthropes.
And a bit later, describes how a lycanthrope can pass the curse onto a non-lycanthrope:
A non-lycanthrope humanoid hit by an attack that carries the curse of lycanthropy must succeed on a Constitution saving throw (DC 8 + the lycanthrope’s proficiency bonus + the lycanthrope’s Constitution modifier) or be cursed. If the character embraces the curse, his or her alignment becomes the one defined for the lycanthrope. The DM is free to decide that a change in alignment places the character under DM control until the curse of lycanthropy is removed.
Let's not judge what a consenting couple does in the privacy of their time spent off-screen. Biting may occur, respectfully and without causing damage (which is not needed to pass on the curse), and could therefore pass the curse onto their partner.
Note that the Blood Hunter is not an official D&D creation, in case Order of the Lycan has its own lore behind the science of lycanthropy. Then again, you're the DM of your campaign, and ultimately you can decide how the lore works.
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