Can I do partial exchange and pay tax for the remaining amount?

Yes, there are many ways to do a partial exchange and pay tax for the remaining amount.  Suppose you have an investment property and want to do a 1031 exchange for it. In this case, you sell the relinquished property and reinvest some amount of proceeds to buy a new replacement property. Therefore, the amount for which new property is bought for that 1031 exchange can be done and for the remaining proceeds, you need to pay the tax.
As this is a complicated process, therefore it will be better to consult with an expert. You can call on 888-993-2835 or mail us at info@1031xchange.com.