Can I get Lumineers after Invisalign?

I wanted to get Lumineers to close a gap in the front of my teeth. The Dentist suggested I get Invisalign because when closing a gap, the teeth don't look natural, it's too big.I did get the Invisilign 3 years ago but my teeth are not tight. I can still move them with my finger. I went to a periodontist and he said my gums were in bad shape and Invisalign was probably not a good idea.Can I get Lumineers now? Will my teeth fall out? Should the dentist have checked my gums before Invisalign?