No. Relying soley on a "toothpaste for sensitive teeth" may just mask the source of your teeth's sensitivity. The best way to help sensitive teeth is to see a dentist in order to determine the cause of the sensitivity.
Toothpaste may only temporarily disguise the problem, allowing it to get worse. A cavity, bad bite or root erosion may be the source of your teeth's sensitivity, and a desensitizing toothpaste may only help for a short period of time. A dentist, however, can help you discover the source and provide treatment options for long-term relief.