I totally agree with Curfew's answer, if you needed a second opinion.
Hepatitis A is only transmitted through feces, usually by eating contaminated foods. Kissing is not a real concern.
Hepatitis C is transmitted by blood, and is almost always transmitted by sharing needles for drug use. Kissing is not a viable method of transmission for Hep C.
The only concern would be Hepatitis B, which can be transmitted by microscopic blood in saliva https://www.webmd.com/hepatitis/hepatitis-and-sex-frequently-asked-questions. In adults, Hepatitis B is almost always acute and self-resolves. If you have been vaccinated against Hep B, there is no cause for concern.
Kissing, overall, is an extremely low-risk activity for anything apart from common viral and bacterial infections, such as strep throat, colds, flu, and of course, COVID-19. You should not concern yourself with hepatitis from kissing, realistically.