If you are asking if you can purchase a home from someone if there are liens or taxes owned, then no. The transfer of a property will not be transfered during the process of a normal sale without all liens or taxes being taken care of. Once you have ownership of the property, the taxes will be up to date and the only liens will be the ones put there by your bank to purchase the property.
Mind you, I said "normal" sale. If you get the property through a tax sale, liens are still there. If you get the property through the foreclosure sale, the property is supposed to be free of other liens, etc. But this is, at times, not the case.
Hope that helps.