Would it be possible to put standard guitar strings DGBE on a bass guitar? So it can be played as a tenor guitar?
Maybe, but you would have to change the nut to have the correct slot size and depth and you'd also want to adjust the truss rod and intonation.
The problem you are likely to run into is scale length. First, the strings might just not be long enough. Second, you might have to tighten them so much to bring them up to pitch that they break.
A better way to go is to look for individual bass strings that are lighter in gauge and closer to guitar string gauges. There should be some overlap.
Confirmed: D'Addario (just one example) makes bass strings as small as .025, and the D string on a set of 10s for guitar is .028. I would buy a bunch of single bass strings and experiment with tuning and tension and figure out a set that works for you. Then you'll probably need to get a nut cut for those gauges and do a setup on the bass and then you should be good.
Given that the string length of a guitar is around 26" and a bass around 34", it's not going to work too well, particularly if you use standard strings tuned standard DGBE.
The first problem is that the bass is roughly 1/3 longer, so to get the strings up to pitch, they'll need to be 1/3 tighter - 'ping'.
Sticking with 6 strings, a baritone comes to mind, at 28"-30", so a sort of compromise, using a bass would do it, but maybe tuning using a bass D string at the bottom, and working up from there,
Tenors are usually a bit shorter than guitars, at 23", so bass is going the wrong way. They're also tuned in 5ths, which certainly isn't DGBE.