No, you would need to rebuild every platform along the line if you want any real capacity increase at all. Unlike other loading gauges around the world, the British one gets narrower below platform level, enough so that 2+2 seating is impossible
The width of the gauge below platform level is
completely irrelevant to whether you can have double decker trains or not, if there are no other constraints.
I am proposing double deck trains with the lower deck at exactly the same elevation as that of conventional trains. They can therefore be exactly the same width as conventional trains.
This was all analysed in detail by Network Rail and the clear conclusion from that effort was that there was no point even considering regauging lines to fit double deck stock.
The network rail study was based on a half baked conversion to GB+ or GC for TSI compatibility purposes, which is indeed pointless.
I am proposing a gauging effort that would require essentially no work to track layouts or below platform level equipment at all.
Once you concede a massive reconstruction for increased top room there is no need to stop at GC.
If you push to 5+ metres you can have a double deck train entirely above the platform level, eliminating the problems that render GB+ and GC impractical.
Especially considering there are great stretches of lines in urban terrain with no overbridges since they are already on viaducts - which have essentially unlimited headroom.
The only limitation is stability due to the tall vehicle, but this does not become a problem until 20 feet or so.
Which is far beyond what we need.
EDIT:
A TGV duplex is approximately 4.32m tall.
If we assume the structural floor of the bottom deck is in contact with the railhead (this is obviously a bad assumption but it is conservative) then the entire height of the train is required for two decks.
If we adopt the Channel Tunnel gauge height of 5.595m as our constraint (which makes sense for standardisation purposes as a starting point, even if we can't adopt the width, maxing the height now saves potential trouble later) then that means we have an addition of 1.275m of headroom, which means the bottom deck can now be ~1.3m off the railhead.
The Height of a Class 508 is roughly 3.58m, an estimate from a picture says roughly a third of this is below the platform floor. That means the floor is something like 1.2m above the railhead - if we assume the floor is the beginning of the full width section, it can be shown that if CT height is permitted you can have a double deck train without a reduced width lower deck.
(Note: An earlier analysis based on a Cl508 was replaced with one based on a TGV Duplex to remove problems with estimated structural height requirements).