Of course not. When my native Ireland was separating from the UK, it was felt that a republic could not be part of the commonwealth but that was a long time ago.. and now, in spite of years of bitter ill feeling, rellations between the UK and Republic are much better and we've had several royal visits. Im sure hte queen accepts it if Jamaica wants to go, but she might wish that it does not happen until after her time.
I wonder, however, why Jamaican politicians, like in Barbados, want to abolish the monarchy without holding a popular referendum first on the issue. Are they afraid the people might actually prefer to keep the Queen?