In most instances, the answer to this question is no. Unfortunately, in order to determine where one line of a property is located, a surveyor needs to determine where all of the boundaries of a property are located. The only time this is not the case is when the surveyor has previously surveyed the property or has surveyed an adjacent property.
As a follow-up to this question, a potential client sometimes will inform us that there are existing markers on another property line. They will then ask why we cannot just start with those markers and survey the line they want. The reason we cannot or do not is that even with existing property markers present, we have no way to know the accuracy of those property markers. A surveyor should never take any existing property marker at face value. Instead, they should locate all existing property markers in the vicinity and then compare them with existing maps of record and property deeds to determine if they are positionally correct.