I highly doubt that.
Even in the past there were some players who were on top of their level even after 33. Nowadays football is more about running than talent, so I don't think any player will welcome oldies. Lavezzi and Robben are 30yo at this point (Lavezzi is actually 29) so they can play a few more years without a problem, but I doubt any major league will try to sign them (bar Italy, cause they just love those...). Totti is apparently bigger than Roma but truth is that his presence is hurting them nowadays. So if anything I think in todays football clubs will try to get rid of older players even more frequently.
Looking at our squad I'd say only Pogba and Tevez could play until they are 35, nobody else. Not even Vidal simply because he'd lose way too much once he loses the speed. It's players with great technique that manage to survive that long and most of the time it's just strikers, because midfield can't really afford such blows IMO.