Yes, you can use the events API for this, see
https://www.thethingsindustries.com/docs/reference/api/events/
Example with curl:
curl https://eu1.cloud.thethings.network/api/v3/events \
-H "Authorization: Bearer NNSXS.4AP5MAHVWHRIJCY4L3EXKVRQFPQXJ4JJ2TOFNQA.FRQSDKXMEY3ISJVXYD5FDGOGQWNHLPZ3IM7N32RHJNYPZHMJEQKA" \
-H "Accept: text/event-stream" \
--data '{"identifiers":[{"application_ids":{"application_id":"rak7204-bertrik"}}]}'
The ‘Authorization’ header contains an API key you generated in the console, in this case a application API key with rights ‘read application traffic’.
You will see receive basically the same info as in the device live view of the console, JSON messages wrapped in a ‘result’ wrapper, separated by a blank line, for example:
{"result":{"name":"events.stream.start","time":"2021-10-31T06:58:41.367623523Z","identifiers":[{"application_ids":{"application_id":"rak7204-bertrik"}}],"correlation_ids":["rpc:/ttn.lorawan.v3.Events/Stream:75d69191-138d-46c1-8e51-32bd608a3d71"],"origin":"ip-10-100-7-169.eu-west-1.compute.internal","unique_id":"01FKAJ99JQVD7REQYDYVQX81EF"}}
{"result":{"name":"ns.up.data.receive","time":"2021-10-31T07:00:37.825643154Z","identifiers":[{"device_ids":{"device_id":"rak7204","application_ids":{"application_id":"rak7204-bertrik"},"dev_eui":"323833355F387902","join_eui":"70B3D57ED003881B","dev_addr":"260B4205"}}],"data":{"@type":"type.googleapis.com/ttn.lorawan.v3.UplinkMessage","raw_payload":"QAVCCyaCPBIDBgiK0p7R9DE5Ttc559VAvMkbGU4s/n+nGA==","payload":{"m_hdr":{"m_type":"UNCONFIRMED_UP"},"mic":"/n+nGA==","mac_payload":{"f_hdr":{"dev_addr":"260B4205","f_ctrl":{"adr":true},"f_cnt":4668,"f_opts":"AwY="},"f_port":8,"frm_payload":"itKe0fQxOU7XOefVQLzJGxlOLA==","full_f_cnt":4668}},"settings":{"data_rate":{"lora":{"bandwidth":125000,"spreading_factor":11}},"data_rate_index":1,"coding_rate":"4/5","frequency":"868500000","timestamp":1842261132,"time":"2021-10-31T07:00:37.744802951Z"},"rx_metadata":[{"gateway_ids":{"gateway_id":"bertrik-ttig-2","eui":"58A0CBFFFE802765"},"time":"2021-10-31T07:00:37.744802951Z","timestamp":1842261132,"rssi":-41,"channel_rssi":-41,"snr":9.5,"location":{"latitude":52.02263293883559,"longitude":4.692435826556128,"source":"SOURCE_REGISTRY"},"uplink_token":"ChwKGgoOYmVydHJpay10dGlnLTISCFigy//+gCdlEIzZuu4GGgwIlf74iwYQtoPTgwMg4IXI+s6mBQ=="}],"received_at":"2021-10-31T07:00:37.816421818Z","correlation_ids":["gs:conn:01FK9W57E6X4JP11MSSRJ6ENTQ","gs:up:host:01FK9W57EGX6FKEQVBP569P8VN","gs:uplink:01FKAJCV9NJVPQBS6C0ZWCG3N9","ns:uplink:01FKAJCV9RCHM98V50MTFHCTCJ","rpc:/ttn.lorawan.v3.GsNs/HandleUplink:01FKAJCV9RRJS7ZQPA0N6JGRRM"],"device_channel_index":2,"consumed_airtime":"0.987136s"},"correlation_ids":["gs:conn:01FK9W57E6X4JP11MSSRJ6ENTQ","gs:up:host:01FK9W57EGX6FKEQVBP569P8VN","gs:uplink:01FKAJCV9NJVPQBS6C0ZWCG3N9","ns:uplink:01FKAJCV9RCHM98V50MTFHCTCJ","rpc:/ttn.lorawan.v3.GsNs/HandleUplink:01FKAJCV9RRJS7ZQPA0N6JGRRM"],"origin":"ip-10-100-4-61.eu-west-1.compute.internal","context":{"tenant-id":"CgN0dG4="},"visibility":{"rights":["RIGHT_APPLICATION_TRAFFIC_READ"]},"unique_id":"01FKAJCVA156Z27RR0BKCHRNXN"}}
{"result":{"name":"ns.mac.link_adr.answer.reject","time":"2021-10-31T07:00:38.019947413Z","identifiers":[{"device_ids":{"device_id":"rak7204","application_ids":{"application_id":"rak7204-bertrik"},"dev_eui":"323833355F387902","join_eui":"70B3D57ED003881B","dev_addr":"260B4205"}}],"data":{"@type":"type.googleapis.com/ttn.lorawan.v3.MACCommand.LinkADRAns","data_rate_index_ack":true,"tx_power_index_ack":true},"correlation_ids":["gs:conn:01FK9W57E6X4JP11MSSRJ6ENTQ","gs:up:host:01FK9W57EGX6FKEQVBP569P8VN","gs:uplink:01FKAJCV9NJVPQBS6C0ZWCG3N9","ns:uplink:01FKAJCV9RCHM98V50MTFHCTCJ","rpc:/ttn.lorawan.v3.GsNs/HandleUplink:01FKAJCV9RRJS7ZQPA0N6JGRRM"],"origin":"ip-10-100-4-61.eu-west-1.compute.internal","context":{"tenant-id":"CgN0dG4="},"visibility":{"rights":["RIGHT_APPLICATION_TRAFFIC_READ"]},"unique_id":"01FKAJCVG3Y5WD4M5CHZ2K3M14"}}
etc