Yes, married persons are eligible to practice any Yoga through which they can enjoy divine bliss. Yogis like Lahiri Mahasaya (disciple of Mahavatar Babaji) or Sri Yukteswar Giri (Guru of Paramahansa Yogananda) or Sri Ramakrishna Paramahansa (Guru of Swami Vivekananda) were all married.
Autobiography of a Yogi / Chapter 31: An Interview with the Sacred Mother:
On one occasion Trailanga Swami, forsaking his usual silence, honored Lahiri Mahasaya very pointedly in public. A Benares disciple objected.
"Sir," he said, "why do you, a swami and a renunciate, show such respect to a householder?"
"My son," Trailanga replied, "Lahiri Mahasaya is like a divine kitten, remaining wherever the Cosmic Mother has placed him. While dutifully playing the part of a worldly man, he has received that perfect self-realization for which I have renounced even my loincloth!"
Chapter 34: Materializing a Palace in the Himalaya:
Mahavatar Babaji to Lahiri Mahasaya
A deep purpose underlay the fact that you did not meet me this time until you were already a married man, with modest business responsibilities. You must put aside your thoughts of joining our secret band in the Himalayas; your life lies in the crowded marts, serving as an example of the ideal yogi-householder.
The cries of many bewildered worldly men and women have not fallen unheard on the ears of the Great Ones, he went on. You have been chosen to bring spiritual solace through Kriya Yoga to numerous earnest seekers. The millions who are encumbered by family ties and heavy worldly duties will take new heart from you, a householder like themselves. You must guide them to see that the highest yogic attainments are not barred to the family man. Even in the world, the yogi who faithfully discharges his responsibilities, without personal motive or attachment, treads the sure path of enlightenment.
No necessity compels you to leave the world, for inwardly you have already sundered its every karmic tie. Not of this world, you must yet be in it. Many years still remain during which you must conscientiously fulfill your family, business, civic, and spiritual duties. A sweet new breath of divine hope will penetrate the arid hearts of worldly men. From your balanced life, they will understand that liberation is dependent on inner, rather than outer, renunciations.
Gospel of Sri Ramakrishna / Volume 1 / Rules for Householders and Monks:
Therefore when the youngsters come here I ask them whether they have anyone at home. (To Mahima) Why should householders renounce the world? What great troubles the wandering monks pass through! The wife of a certain man said to him: 'You want to renounce the world? Why? You will have to beg morsels from eight different homes. But here you get all your food at once place. Isn't that nice?'
"Wandering monks, while searching for a sadavrata,5 may have to go six miles out of their way. I have seen them travelling along the regular road after their pilgrimage to Puri and making a detour to find an eating-place.
"You are leading a householder's life. That is very good. It is like fighting from a fort. There are many disadvantages in fighting in an open field. So many dangers, too. Bullets may hit you.
"But one should spend some time in solitude and attain Knowledge. Then one can lead the life of a householder. Janaka lived in the world after attaining Knowledge. When you have gained it, you may live anywhere. Then nothing matters.