Yes, there are several options for you. You should meet with a lender to discuss which one may be the right one for you.
Some examples would be to do a Home Equity Line of Credit on your current home for enough cash to cover 20% or more down on your new home. You can also talk to a lender about doing a Bridge Loan which would potentially encumber both homes until the current home is sold.
You should find out which program is best for you well in advance of listing your current home for sale as some home loans are not available if you are on the market.