Right
吾 supplies the sound (wú to wù, only tone shifts) and a fitting semantic flavour:
吾 is the classical first-person pronoun. A meeting between 'I' and 'thou' under daylight is exactly what
晤 names. Same phonetic in
悟 (awaken, mental meeting with truth),
梧 (paulownia),
语 (speech).
会晤 'meet' is the everyday compound.