No, that is definitely not what it is saying.
The phrase "Two flesh become one" doesn't mean you become married to God by the act of intercourse.
Read this.
1 Corinthians Chapter 7
1 Now concerning the things whereof ye wrote unto me: It is good for a man not to touch a woman.
2 Nevertheless, to avoid fornication, let every man have his own wife, and let every woman have her own husband.
3 Let the husband render unto the wife due benevolence: and likewise also the wife unto the husband.
4 The wife hath not power of her own body, but the husband: and likewise also the husband hath not power of his own body, but the wife.
5 Defraud ye not one the other, except it be with consent for a time, that ye may give yourselves to fasting and prayer; and come together again, that Satan tempt you not for your incontinency.
6 But I speak this by permission, and not of commandment.
7 For I would that all men were even as I myself. But every man hath his proper gift of God, one after this manner, and another after that.
8 I say therefore to the unmarried and widows, It is good for them if they abide even as I. (Paul is referring to his celibacy)
9 But if they cannot contain, let them marry: for it is better to marry than to burn.
(In other words, if you can't control your sexual urges, it's better that you get married than go to hell for having sex before you get married)