Microsoft announced earlier this year that Access-based web apps and Access web databases in Office 365 and SharePoint Online will be shut down by April, 2018. See link here:
This does not affect Access Desktop databases (.accdb).
One alternative you should consider is use of a Windows Remote Desktop Server with Access or Access runtime installed. Riptide Hosting has been providing terminal server (remote desktop) hosting solutions for over 15 years. Contact us to discuss pricing and options.