Is Jesus the prophesied Messiah in Isaiah 7 verse 14?

Yes. It is clearly stated in Luke 2 that Mary was a virgin. Luke was a pragmatic, educated doctor and not some airy-fairy preacher prone to fantasy. Reading Luke's preamble in Chapter 1, he wished to research and set down in a systematic and accurate way all the things that had happened, and so we can be pretty sure that Luke was correct in his assessment about Mary. Furthermore, it is almost certain that Luke knew Mary personally. As a friend of Paul (mentioned several times in Acts and Paul's letters) he would also have known Peter as Peter knew Paul both in Judea and as his mission partner in Rome. Peter in turn knew John the disciple (as Peter, James and John were Jesus' closest companions) and John knew Mary almost as a son, after being charged with looking after her by Jesus himself as he hung dying on the cross. Also, Mary herself was convinced that she would give birth to God's only Son (both by the circumstances surrounding her pregnancy - the message of Gabriel, the singing of the Magnificat and so on) and Luke reflects this. The name Emmanuel means 'God with Us' - a very appropriate description of Jesus. The name 'Jesus' means 'He who saves' and so the combination of the two describes jesus of nazareth succinctly. Of course, the term 'Christ' is not his 'name' but the title bestowed on him - the Messiah, the Deliverer, the Saviour. And when that title was bestowed on him by others - e.g. Peter himself (Matthew 16: 13-16) then Jesus never indicated that he was anything otherwise.