1 Corinthians 7:4 is one of the verses that says the husband and wife belong to each other. But ultimately, the husband is the God appointed authority over the wife. Not only is she to submit to him, but he is responsible for her, her salvation, in God's eyes.
It isn't as simple as the wife has to be submissive to her husband. This does not, however, entitle the man to boss her around, mistreat her or disrespect her.
The husband, in my opinion, has a much bigger job with a lot of responsibility. He is to love his wife as Jesus loves the church. It is his job to protect her, guide her, love her and lead her. That is a pretty big job.
Genesis 3:16
16 To the woman He said,
I will greatly multiply
Your pain in childbirth,
In pain you will bring forth children;
Yet your desire will be for your husband,
And he will rule over you.
Ephesians 5:22-23
22 Wives, be subject to your own husbands, as to the Lord. 23 For the husband is the head of the wife, as Christ also is the head of the church, He Himself being the Savior of the body.
Please note verse 23 "for the husband is the head of the wife."
Colossians 3:18-19
18 Wives, be subject to your husbands, as is fitting in the Lord. 19 Husbands, love your wives and do not be embittered against them.
1 Corinthians 11:3
3 But I want you to understand that Christ is the head of every man, and the man is the head of a woman, and God is the head of Christ.
So, to answer your question, yes. He has not only the right to stop her, to tell her she should not go, he also has the responsibility, as her God appointed authority, to do so.