There is usually the rule of thumb that such samples are usually only stable for 24-72 at ambient or refrigerated temperature and need analyzing within this time period
You can give it a try, but the RNA quality may not be that great, therefore, the RNA might not be suitable for all downstream applications, e.g. RNA-seq.
I would just go ahead and try and extract from a couple of samples then, nothing to lose and just check the RNA quality on a Bioanalyzer before proceeding with your qRT PCR . On your side it has been shown that the RNA yield is higher in EDTA-blood than in heparin-blood (see attached pdf might be of help).