The LotH is set for specific times of the day. Morning, Daytime (mid-morning, noon, or mid-afternoon - your choice), and Evening prayer are all self-explanatory. Night Prayer is more of a final prayer of the day -said right before retiring for the night - it is meant to include an examination of conscience. The Office of Readings is the exception since it doesn’t have a specific time assigned to it and can be prayed in conjunction with another. However, it is one that should be granted ample time to reflect and meditate on the substantial amount of material - for it includes a biblical reading and a second one taken from early Patristic writings, biographies and such.
I must admit I’m more concerned with your choice of words :
“Would it be licit to pray…” I assume you are a lay-person and you are not obligated by Canon Law to pray the LotH, so you really should not worry if it is “licit” or not. In my opinion, you should look for ways to develop a daily habit of prayer to include one or more of the hours and increase it when possible.
Peace,
Deacon Freddy Medina
Diocese of San Angelo, Texas