No. ELSA was for 2 purposes:
1. Convert existing "fat" "ultralights" to something legal to fly after they otherwise became lawn ornaments. As they said about 6600 aircraft went through this process. It is no longer available. (I know that when it was available a few, very few otherwise E-AB plane builders decided to certificate their planes this way.)
2. Building a replica of an SLSA certified aircraft. As in, an exact copy, no deviations allowed (including nits like the switches, type of radio & instruments - everything exact same). This isn't available for all "kit planes" either - it can only be a kit that is a replica of the SLSA aircraft that the manufacturer has certified. So if the type you are considering isn't offering ready-to-fly SLSA's, there won't be any ELSA's of that type either. (Well, I guess technically there could be, if they decided not to sell any more SLSA's - kind of sounds like RANS S-19 might go that way - they're building 5 SLSA's for sale, but I got the impression they can't sell them for high enough price for ready-to-fly production to continue.)
But buying an E-AB (Experimental Amateur Built) isn't a bad deal at all.
You can: Do ALL of the maintenance yourself. Make ANY changes you want or need to. Replace radios, upgrade the instruments, whatever. If you replace something major like the prop or engine, the operating limitations issued with the airworthiness certificate have instructions on how to put it back into "Phase I" (flight test) for 5 hours of no passengers, then it's free to be used again with passengers.
The ONLY thing you can't do is sign for the annual condition inspection. You can DO all the work to prepare the plane for the inspection (pull all the cover plates, fairings, cowlings, seat, etc. that needs to be pulled out), have the A&P come over for an hour and look it over, then you can put all that stuff back together. So it's not like you have to send your plane to the FBO for days and pay dozens of hours of mechanic's time each year.
As a builder of an E-AB aircraft, I actually WANT this restriction. So that if/when I decide to sell my plane, an A&P HAS TO look it over each year. I probably wouldn't even want to build an ELSA - that some hotshot might buy, take a weekend class and then be able to sign off? Not a great deal to me.