Young Fishermen's Development Act of 2017 This bill directs the National Sea Grant Office in the National Oceanic and Atmospheric Administration to establish a Young Fishermen's Development Grant Program to provide training, education, outreach, and technical assistance initiatives for young fishermen. The office shall make competitive matching grants to support local and regional training, education, outreach, and technical assistance initiatives for young fishermen, including programs, workshops, and services related to seamanship, navigation, electronics, and safety, vessel and engine care, and sustainable fishing practices. Grant recipients must be a collaborative state, tribal, local, or regionally based network or partnership of public or private entities. In awarding grants, the office shall give priority to partnerships and collaborations that are led by or include nongovernmental fishing community-based organizations and school-based fisheries educational organizations with expertise in fisheries and sustainable fishing training and outreach. Grants may not be used to purchase a fishing license, permit, quota, or other harvesting right.