No, except that you may not change your team affiliation in the middle of a meet. You may change the team you represent at any time between meets.
When you renew your membership each year, you may transfer your team affiliation to any team without any additional fees. Should you decide to change team affiliation prior to your renewal, there is a small processing fee.
If you want to get together with family, old college buddies, friends, or anyone else to swim as a team, break a record, or for whatever reason, you can. If you want to register a team to go for a record one week and register a different group of individuals as a team to go for a record the next week, you can. No one owns you in ASA. You are free to move around as you please. We expect that you will be considerate of your coaches and teammates, but who you represent is up to you.