Yes, on July 1st, 2021, but they will be replaced with an unified threshold: If you exceed 10000 EUR in-EU cross-border sales in a year, you will have to charge destination country VAT. Otherwise you can continue charging seller country VAT.

Also, from that date, you will not need to register for VAT on the destination countries anymore, you can just remit VAT for all countries to your local tax office. Which is what they use as justification for lowering the threshold.

https://ec.europa.eu/taxation_customs/business/vat/modernisi...

I remember reading something about this, IIRC goods will join the VATMOSS scheme while the above thresholds apply before this happens (and the whole thing was postponed due to the pandemic). And VAT on digital services should get a threshold now