In order to get your Eevee to evolve into an Espeon, you need to train it until it reaches its maximum happiness. However, this has to be during the day time (10 AM - 6 PM) in order for it to evolve into Espeon (night time is for Umbreon). If you do not have an Eevee, you can get one from Bebe in Hearthome City or in the Trophy Garden on route 212 as your daily Pokemon once you have obtained the National Dex. Simply go into the mansion and talk to Mr. Backlot. He will let you know which special Pokemon is in the garden for that day.
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You have to level it up with high happiness during the day(10:00 AM to 5:59 PM).
umbreon: lvl eevee 1 lvl up with happiness at late night (not rare candy doesnt work) espeon: lvl eevee 1 lvl up with happiness at day (not morning)
get an eevee and treat it with friendship during the day
Evolve it from eevee
sorry you cant, you have to evolve your evee during the night it will be either a umbreon or a espeon. so its the matter of luck on getting the one you want.