Yes, of course.Sri Krishna says in the Gita:
7.16 O Arjuna, foremost of the Bharata dynasty, four classes of people of virtuous deeds adore Me: the afflicted, the seeker of Knowledge, the seeker of wealth and the man of Knowledge.
Please notice that the Afflicted and the wealth-seeker both worship Him for fulfilling material desires.Wealth('Artha') does not just meant accumulated money alone. It means wish and desire also according to sanskritdictionary.com:
अर्थः [In some of its senses from अर्थ्; in others from ऋ-थन् Uṇ.2.4; अर्थते ह्यसौ अर्थिभिः Nir.] 1 Object, purpose, end and aim; wish, desire;
The Lord therefore Himself says that He is worshipped for fulfilling the desires. He also says:
4.11 Whoever resortt to Me in any manner, in the same manner do I favour them; men experience Me alone in different ways, O Arjuna.
The Glory of the Name of Krishna is also sung in various scriptures. Like:
sarvAni nAmAni hitasya rajan sarvArtha-siddhai tu bhavanti pumsah/tasmad yathestam khalu krishna-nAma sarveshu kAleshu japeta bhaktyA// Meaning : O King !All the names of the Lord fulfills all desires of men. So it is enough to chant the name of Krishna with devotion.(Sri Sri Krishna-Nama-Mahima, Omkarnath Rachanavali,vol.14,, page 394).
The Padma-Purana (Uttara Khanda) says
jnAnam cha daiva-mahatAm sarva-siddhipradam phalam : (The name of Krishna) fulfills all desires. (Ibid. page 425).
In Srimad-Bhagavatam(4/8/19), Suniti asked her son Dhruva to worship Sri Hari as get back his kingdom:
My dear boy, whatever has been spoken by Suruci, your stepmother, although very harsh to hear, is correct. Therefore, if you desire at all to acquire the same throne as your stepbrother Uttama, give up your envious attitude and immediately try to follow the instructions of your stepmother. Without further delay, you must engage yourself in worshiping the lotus feet of Sri Hari.
Narada also adviced the same to Dhruva(4/8/40). Its well known that Hari or VAsudeva are alternative names of Krishna and Vishnu is just another form of Him. Dhruva got back His kingdom by getting boon from Sri Vishnu.
So the answer to your question according to the scriptures is: Yes, Of course. We must however remember that Sri Krishna is God and He will surely not fulfill any evil desires that causes harm to anyone like some tantric worships do.
