Yes you can make dua if you want him/her to be your spouse
Sometime people also get despair of the mercy of Allah that we pray but didn’t get what we asked for always remember Allah plan is better than our wishes so it may happen that you may not get him/her.
So don’t ever despair of the mercy of Allah. But perhaps you hate a thing and it is good for you; and perhaps you love a thing and it is bad for you. And Allah Knows, while you know not. ( Surah Al-Baqarah 2:216)
Following are some dua for the marriage:
1. “Our Lord, grant us from among our wives and offspring comfort to our eyes and make us an example for the righteous.” (Quran 25:74)
2. Rabbi inni lemaa anzalta elayya min khairin faqeer (Chapter 28, verse 24)
My Lord! I am needy of whatever good You Send down for me
So, what you have to do is after you read this verse a number of times; make sure to ask Allah (God) in a way similar to what follows:
”Oh Allah! You have made every living thing in pairs. The sincere, beautiful and pious pair that you have created for me, please give it to me”
ask Allah Almighty for a spouse that is kind, beautiful, soft hearted, pious, loving and a gentle soul mate.
What you want in your spouse is what you should ask but if you don’t ask for piety or kind heartedness then don’t blame anyone but yourself.
3. ”Rabbana aatina fi’d dunya hasana wa fi’l aakhirati hasana wa qina `adhab an-nar.” [O Lord! Grant us good in this life, and good in the next, and save us from the torment of the Fire] (Qur’an, 2: 200).
Recite this dua’ with the intention of marriage as it is included in the phrase “fi’d dunya hasana” (good in this life).
4. My Lord, do not leave me alone and You are the best of inheritors. (Surah al-Anbiya` 21:89)
May Allah guide us all to the straight path. Ameen..
and Allah know best.