No, it is not possible. Filemaker is in the business to make money.
Sharing a database requires Filemaker Pro, or Filemaker Advanced, or Filemaker Server. Each user needs Filemaker Pro.
A single user database runtime can be created in Filemaker Advanced and distributed to Windows and OSX and iOS users. No networking.
Syncing whether through plugins or manually can keep two copies of a database up to date, three or more copies become more difficult.
Filemaker Pro and Filemaker Advanced and Filemaker Server Advanced allow Instant Web Publishing. FMP ver 7 thru FMP ver 12.
While far from perfect, WebDirect--the successor to Instant Web Publishing which requires FileMaker Server 13, offers an interface much closer to that of a FileMaker Pro client.