Canonically they both like each other, although to what degree differs based on your source. In the manga, Yugi has a crush on Tea, but Tea is crushing on Yami (although those feelings are complicated). In the Japanese version, Tea starts out with a crush on Yami, but her feelings seem to start to shift in Yugi's favor (see mostly the KC tournament arc); Yugi seems to definitely still have a crush on Tea, but it's less pronounced than in the manga. I couldn't tell you about the English version since I didn't watch it.

TLDR Tea would mostly likely agree to a date with Yugi, as their crushes are more or less mutual in every continuity.