my flight to LGW is June 24 10:30PM
If that is your departure time from Venice you have 15 minutes to spend walking to immigration after landing. That is in perfect world, not calculating any possible delays during disembark. The flight is 2h15m, if you factor in timezone change, you should land at 2345...
I would still check with EasyJet whether they will allow you to board though. My uneducated guess is they will not.