In brief: Not exactly. Blood actually doesn't get thinned.  what we call blood thinners are agents that decrease the ability of the blood to clot, usually used in people whose blood clots excessively.
Taking B-complex vitamins, which include vitamin B12, can cause urine to have a bright yellow or even orange color, but check with your doctor to be sure that's what is going on in your case. B vitamins are water-soluble vitamins, which means that what your body doesn't use is excreted in your urine. Riboflavin (vitamin B2) is especially likely to cause this color change in urine. Several medications can also turn urine a bright yellow or orange color. Changes in urine color may also signal certain health problems.
How to Take the Supplements. Begin by taking extra vitamin C, which acidifies the urine, and thereby helps to keep infectious bacteria in the urinary tract from flourishing. Cranberry, another acidifier, also makes it harder for bacteria to stick to the lining of the urinary tract.