No Biblical basis for that unless you're Christ's ancestor or one of the few great prophets.
God only ever brought people together in the Bible if they were Christ's ancestors or any of the great FEW prophets. Because they are just few handfuls, the chance of having God intervene on our behalf is extremely remote.
None of the apostles asked for a wife and Paul explained. A spouse is more likely to turn you away from the Lord and make you care more about worldly matters.
Paul did not even say find a Godly wife and everything will be okay. Nope, it's better to be single for the sake of one's spiritual growth.
And even if you badly needed a wife "burning in passion", Paul said to find one. He did not tell us to ask God for a wife.
Because why would God help us have something that is much more likely going to hinder our spiritual growth?
The disciples of Christ put Jesus first and they left everything because of Him but many of them died horrible deaths, in poverty.
God is all-powerful, He would have given them long and comfortable lives in safety. But that is not what happened because seeking the Kingdom first can come at a heavy price, with plenty of persecutions, and can cost you your life.
Rightfully so, there are poor people. The world blames them for their poverty and slander the poor as ungodly and not putting God first due to their poverty. That is exactly the opposite of what Jesus is teaching.
The reward is only assured after our time on Earth is over. Not while still living on Earth.
There are lots of scriptures that suggest it is God's will for a mate. All these concepts are taken from the bible. It is not good for man to be alone; two are better than one; better to marry than to burn with passion; one can put one thousand to flight but two can put ten thousand to flight. Then there are promises of God. Ps.37:4, God delights to give you the desires of your heart; Ps 138:8 The LORD will perfect that which concerneth me:... Elders and deacons the should be husbands with only one wife; He who finds a wife finds favor with the Lord; Paul's call to singleness should not be disregarded but filtered. For most I think that means marriage is going to work better for them and their service to the Lord.
As to finding a wife, God is no respecter of persons either. There is no reason to believe you can not have great results in finding a mate. The bible is full of examples of this. I do not say His will is for a specific person of your choice. However, if one is seeking, God will surely help. There are lots of modern examples of testimonies of this. There divine appointments for you to meet potential mates. If you were like me sometimes you disregard them when you should'nt have. There are destiny helpers for mates, and for careers, education, mentorship, and discipleship.
Lastly, here is how I believe one can get God involved in your future mate.
1) You have to give up pre-marital sex. If you have that idea as a possibility, God may reject you as being ready.
2) You may have to be willing to move, and if so you need to hear from God where.
3) You need to be free from much of your past baggage. In some cases though God can use it to help sharpen the other person. thus the proverb one man sharpens another, as iron sharpens iron.
4) You may have to be flexible on what you are looking for. If you are asking just in the flesh, God may not answer. To me this meant any race, color, location, hieght and or weight, etc. I do teach one should look for what I call markers. That there has to be some traits in the mate that makes her or him stand out and desireable. This does not mean you get everything you desire, but you should see something.
5) In your dating you must discover new attributes in your mate that you love, ones that you never thought of before. I would add that some of this is spiritual.
6) When you date, your relationship has to improve both mate's walk with with God. If it is detrimental, this has to be fixed or the results will be very poor. As a couple you have to put the kingdom first.
7) If you are consistently having problems in finding a mate, fast and pray like you have never done before. Get real serious until you find answers.
8) Take inventory of your faith and stretch it. How far can you really believe God in this area? You really don't need full confidence before your future mate, but you need confidence in God. You need a good confession and self image in Christ that He is able to give you what you ask. You are moving the kingdom forward if you marry, because two are better than one if you have that desire in your heart.