Yes, it is possible to find Trichomonas vaginalis in urine samples. However, there are more appropriate specimens for diagnosis that will provide better sensitivity. Vaginal or cervical swabs are recommended for female patients while urethral swabs are recommended for male patients.
Urine would not normally be the specimen of choice. However, Trichomonas vaginalis DNA can be detected in urine in a high percentage of cases by molecular techniques. See:
I have found T. vaginalis more in urine sample than vaginal sawab. It is a resistant prozoan and after mixing with methylene blue in urine sample I found it as a motile state after several minutes
Of course depending on the group of people you work with, you may find high prevalences of Trichomonas vaginalis, such as sex workers in urine samples. A cytological specimen for Papanicolou staining increases the likelihood of detecting Trichomonas vaginalis.