Not on your first try. You have to get the Friend Area and then battle him until he joins your team.
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first,you have to meet a spinda who wanted to meet the mirage pokemon.he passes that mission on to you.you have to beat entei,raikou,and suicune in the three fields(you can't recruit them until you've met the mirage pokemon).entei will turn the clear wing spinda gave you into a red wing,raikou turns it into sunset wing,and suicune turns it into the rainbow wing,giving you access to mt faraway.castform should be somewhere in the 26-29 floors.castform will be lv 50 and have a recruit rate of 7.4.
Kyogre is pretty easy to recruit, because he might join your team on your first try, but if not, you can always try again. Make sure you have a Friendbow and/or a high team rank, like Gold or Diamond rank.
You can recruit Abra by first finding it in the Wish Cave. You must be a level 100 and the recruit rate is 10.4 percent.
Try to beat all of the 99 floors, recruit the regie's, or try to recruit mew. Good luck! note:the regis along with mew have about a 5% chance of recruitment so you may have to try a multiple number of times again good luck!
Yes, Entei does flee. After your first move, Entei will flee the scene. However, if your Pokemon is at a higher level than Entei (level 41 or higher) and has a move or ability to prevent wild Pokemon from escaping (for example, a level 42 Golbat that knows Mean Look), Entei cannot escape until the higher leveled Pokemon faints or is switched out.