Can I upgrade the memory ram in a Mabook Air Early 2014?

"Sadly, no

Apple soldered the RAM to the logic board.

The good news here is sometime in the future you should be able to upgrade the SSD, its replaceable! Presently there are a few vendors looking at making upgrades for this series just not available yet."

"As of 2.5 years later, the only aftermarket vendor who makes SSDs compatible with laptops from mid-2013 or later is still OtherWorld Computing/OWC. Fortunately, OWC's cards can be swapped between MacBook Pro Retinas and MacBook Airs from this period.

Update (07/01/2019)

Additional options have appeared since my previous comment re OWC.

1) Transcend (a Mac manufacturer/retailer for many decades) now features a lineup of SSDs with Apple's connector. These are available in x2 and x4 PCI-e variants, in variants for pre-PCI-e 2010-early 2013 MB Airs and MB Pro-Retinas, with and without external enclosures.

2) A number of Chinese OEMs are retailing adapters for Apple's customized Late 2013+ connector, which allow the user to install common industry M-key m.2 PCI-e SSDs. Simtech is the most widely advertised of these OEMs; they may be the primary manufacturer for the other retailers.

There are a couple of caveats for these adapters. Simtech lists a limited range of m.2 SSDs as compatible; others are listed as not compatible. Most SSDs aren't listed at all, so you take your chances. Simtech (and some other retailers) list these adapters/SSDs as being resistant to deep sleep; you have to restart the computer after sleep kicks in.

That said, I moved my earlier 2012 MacBook Air to a SATA adapter with a B+M-key m.2 SSD from Micron, and the assembly has worked fine. I've had no sleep issues at all in six months. I have a driveless 2014 MBA that's currently dead; in the even I can get it to power up, I think I'll try an adapter plus a standard m.2 PCI-e, just to see what happens."

short answer no you can’t long answer yes if you go on ebay or a part retailer you can probably get a new logic board and thats what the ram is sottered onto look for that and swap it out with the old one. save the old one though cause with an adapter you can connect that to a monitor or tv and it will run